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Finding the Fourth Proportional to 10,715.44, 16,071.12 and 3,695.16

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Solution

The fourth proportional to 10,715.44, 16,071.12 and 3,695.16 is: 5,542.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,715.44 : 16,071.12 = 3,695.16 : x
  2. Step 2: Convert to fraction form
    10,715.44/16,071.12 = 3,695.16/x
  3. Step 3: Cross multiply
    10,715.44x = 16,071.12 × 3,695.16
  4. Step 4: Simplify right side
    10,715.44x = 59,385,359.78
  5. Step 5: Solve for x
    x = 59,385,359.78/10,715.44
  6. Step 6: Final answer
    x = 5,542.04

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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.