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Finding the Fourth Proportional to 7,774.68, 10,726.38 and 5,415.96

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Solution

The fourth proportional to 7,774.68, 10,726.38 and 5,415.96 is: 7,472.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,774.68 : 10,726.38 = 5,415.96 : x
  2. Step 2: Convert to fraction form
    7,774.68/10,726.38 = 5,415.96/x
  3. Step 3: Cross multiply
    7,774.68x = 10,726.38 × 5,415.96
  4. Step 4: Simplify right side
    7,774.68x = 58,093,645.02
  5. Step 5: Solve for x
    x = 58,093,645.02/7,774.68
  6. Step 6: Final answer
    x = 7,472.16

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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.