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Finding the Fourth Proportional to 10,333.72, 15,493.68 and 5,339.14

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Solution

The fourth proportional to 10,333.72, 15,493.68 and 5,339.14 is: 8,005.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,333.72 : 15,493.68 = 5,339.14 : x
  2. Step 2: Convert to fraction form
    10,333.72/15,493.68 = 5,339.14/x
  3. Step 3: Cross multiply
    10,333.72x = 15,493.68 × 5,339.14
  4. Step 4: Simplify right side
    10,333.72x = 82,722,926.64
  5. Step 5: Solve for x
    x = 82,722,926.64/10,333.72
  6. Step 6: Final answer
    x = 8,005.14

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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.