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Finding the Fourth Proportional to 8,040,726.40, 11,286,876.80 and 8,040,726.40

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Solution

The fourth proportional to 8,040,726.40, 11,286,876.80 and 8,040,726.40 is: 11,286,876.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,040,726.40 : 11,286,876.80 = 8,040,726.40 : x
  2. Step 2: Convert to fraction form
    8,040,726.40/11,286,876.80 = 8,040,726.40/x
  3. Step 3: Cross multiply
    8,040,726.40x = 11,286,876.80 × 8,040,726.40
  4. Step 4: Simplify right side
    8,040,726.40x = 90,754,688,259,307.53
  5. Step 5: Solve for x
    x = 90,754,688,259,307.53/8,040,726.40
  6. Step 6: Final answer
    x = 11,286,876.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.