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Finding the Fourth Proportional to 10,344.76, 14,276.10 and 5,869.24

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Solution

The fourth proportional to 10,344.76, 14,276.10 and 5,869.24 is: 8,099.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,344.76 : 14,276.10 = 5,869.24 : x
  2. Step 2: Convert to fraction form
    10,344.76/14,276.10 = 5,869.24/x
  3. Step 3: Cross multiply
    10,344.76x = 14,276.10 × 5,869.24
  4. Step 4: Simplify right side
    10,344.76x = 83,789,857.16
  5. Step 5: Solve for x
    x = 83,789,857.16/10,344.76
  6. Step 6: Final answer
    x = 8,099.74

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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.