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Finding the Fourth Proportional to 11,422.39, 15,763.01 and 6,386.89

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Solution

The fourth proportional to 11,422.39, 15,763.01 and 6,386.89 is: 8,813.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,422.39 : 15,763.01 = 6,386.89 : x
  2. Step 2: Convert to fraction form
    11,422.39/15,763.01 = 6,386.89/x
  3. Step 3: Cross multiply
    11,422.39x = 15,763.01 × 6,386.89
  4. Step 4: Simplify right side
    11,422.39x = 100,676,610.94
  5. Step 5: Solve for x
    x = 100,676,610.94/11,422.39
  6. Step 6: Final answer
    x = 8,813.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.