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Finding the Fourth Proportional to 10,008.14, 15,021.62 and 5,081.31

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Solution

The fourth proportional to 10,008.14, 15,021.62 and 5,081.31 is: 7,626.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,008.14 : 15,021.62 = 5,081.31 : x
  2. Step 2: Convert to fraction form
    10,008.14/15,021.62 = 5,081.31/x
  3. Step 3: Cross multiply
    10,008.14x = 15,021.62 × 5,081.31
  4. Step 4: Simplify right side
    10,008.14x = 76,329,507.92
  5. Step 5: Solve for x
    x = 76,329,507.92/10,008.14
  6. Step 6: Final answer
    x = 7,626.74

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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.