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Finding the Fourth Proportional to 10,616.13, 15,936.50 and 5,695.38

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Solution

The fourth proportional to 10,616.13, 15,936.50 and 5,695.38 is: 8,549.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,616.13 : 15,936.50 = 5,695.38 : x
  2. Step 2: Convert to fraction form
    10,616.13/15,936.50 = 5,695.38/x
  3. Step 3: Cross multiply
    10,616.13x = 15,936.50 × 5,695.38
  4. Step 4: Simplify right side
    10,616.13x = 90,764,437.61
  5. Step 5: Solve for x
    x = 90,764,437.61/10,616.13
  6. Step 6: Final answer
    x = 8,549.67

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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.