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Finding the Fourth Proportional to 10,356.64, 15,535.62 and 3,781.98

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Solution

The fourth proportional to 10,356.64, 15,535.62 and 3,781.98 is: 5,673.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,356.64 : 15,535.62 = 3,781.98 : x
  2. Step 2: Convert to fraction form
    10,356.64/15,535.62 = 3,781.98/x
  3. Step 3: Cross multiply
    10,356.64x = 15,535.62 × 3,781.98
  4. Step 4: Simplify right side
    10,356.64x = 58,755,404.13
  5. Step 5: Solve for x
    x = 58,755,404.13/10,356.64
  6. Step 6: Final answer
    x = 5,673.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.