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Finding the Fourth Proportional to 10,476.88, 15,715.10 and 3,081.16

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Solution

The fourth proportional to 10,476.88, 15,715.10 and 3,081.16 is: 4,621.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,476.88 : 15,715.10 = 3,081.16 : x
  2. Step 2: Convert to fraction form
    10,476.88/15,715.10 = 3,081.16/x
  3. Step 3: Cross multiply
    10,476.88x = 15,715.10 × 3,081.16
  4. Step 4: Simplify right side
    10,476.88x = 48,420,737.52
  5. Step 5: Solve for x
    x = 48,420,737.52/10,476.88
  6. Step 6: Final answer
    x = 4,621.68

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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.