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Finding the Fourth Proportional to 10,276.64, 15,428.22 and 5,349.68

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Solution

The fourth proportional to 10,276.64, 15,428.22 and 5,349.68 is: 8,031.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,276.64 : 15,428.22 = 5,349.68 : x
  2. Step 2: Convert to fraction form
    10,276.64/15,428.22 = 5,349.68/x
  3. Step 3: Cross multiply
    10,276.64x = 15,428.22 × 5,349.68
  4. Step 4: Simplify right side
    10,276.64x = 82,536,039.97
  5. Step 5: Solve for x
    x = 82,536,039.97/10,276.64
  6. Step 6: Final answer
    x = 8,031.42

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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.