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Finding the Fourth Proportional to 7,564.66, 10,439.90 and 5,171.92

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Solution

The fourth proportional to 7,564.66, 10,439.90 and 5,171.92 is: 7,137.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,564.66 : 10,439.90 = 5,171.92 : x
  2. Step 2: Convert to fraction form
    7,564.66/10,439.90 = 5,171.92/x
  3. Step 3: Cross multiply
    7,564.66x = 10,439.90 × 5,171.92
  4. Step 4: Simplify right side
    7,564.66x = 53,994,327.61
  5. Step 5: Solve for x
    x = 53,994,327.61/7,564.66
  6. Step 6: Final answer
    x = 7,137.71

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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.