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Finding the Fourth Proportional to 10,711.60, 14,781 and 6,235.24

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Solution

The fourth proportional to 10,711.60, 14,781 and 6,235.24 is: 8,604.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,711.60 : 14,781 = 6,235.24 : x
  2. Step 2: Convert to fraction form
    10,711.60/14,781 = 6,235.24/x
  3. Step 3: Cross multiply
    10,711.60x = 14,781 × 6,235.24
  4. Step 4: Simplify right side
    10,711.60x = 92,163,082.44
  5. Step 5: Solve for x
    x = 92,163,082.44/10,711.60
  6. Step 6: Final answer
    x = 8,604.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.