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Finding the Fourth Proportional to 10,011.68, 15,012.12 and 5,078.24

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Solution

The fourth proportional to 10,011.68, 15,012.12 and 5,078.24 is: 7,614.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,011.68 : 15,012.12 = 5,078.24 : x
  2. Step 2: Convert to fraction form
    10,011.68/15,012.12 = 5,078.24/x
  3. Step 3: Cross multiply
    10,011.68x = 15,012.12 × 5,078.24
  4. Step 4: Simplify right side
    10,011.68x = 76,235,148.27
  5. Step 5: Solve for x
    x = 76,235,148.27/10,011.68
  6. Step 6: Final answer
    x = 7,614.62

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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.