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Finding the Fourth Proportional to 10,861.60, 16,283.10 and 10,344.88

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Solution

The fourth proportional to 10,861.60, 16,283.10 and 10,344.88 is: 15,508.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,861.60 : 16,283.10 = 10,344.88 : x
  2. Step 2: Convert to fraction form
    10,861.60/16,283.10 = 10,344.88/x
  3. Step 3: Cross multiply
    10,861.60x = 16,283.10 × 10,344.88
  4. Step 4: Simplify right side
    10,861.60x = 168,446,715.53
  5. Step 5: Solve for x
    x = 168,446,715.53/10,861.60
  6. Step 6: Final answer
    x = 15,508.46

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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.