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Finding the Fourth Proportional to 10,531, 15,786.78 and 3,952.72

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Solution

The fourth proportional to 10,531, 15,786.78 and 3,952.72 is: 5,925.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,531 : 15,786.78 = 3,952.72 : x
  2. Step 2: Convert to fraction form
    10,531/15,786.78 = 3,952.72/x
  3. Step 3: Cross multiply
    10,531x = 15,786.78 × 3,952.72
  4. Step 4: Simplify right side
    10,531x = 62,400,721.04
  5. Step 5: Solve for x
    x = 62,400,721.04/10,531
  6. Step 6: Final answer
    x = 5,925.43

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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.