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Finding the Fourth Proportional to 10,532.16, 15,786 and 3,954.15

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Solution

The fourth proportional to 10,532.16, 15,786 and 3,954.15 is: 5,926.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,532.16 : 15,786 = 3,954.15 : x
  2. Step 2: Convert to fraction form
    10,532.16/15,786 = 3,954.15/x
  3. Step 3: Cross multiply
    10,532.16x = 15,786 × 3,954.15
  4. Step 4: Simplify right side
    10,532.16x = 62,420,211.90
  5. Step 5: Solve for x
    x = 62,420,211.90/10,532.16
  6. Step 6: Final answer
    x = 5,926.63

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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.