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Finding the Fourth Proportional to 7,438.61, 11,150.82 and 2,505.71

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Solution

The fourth proportional to 7,438.61, 11,150.82 and 2,505.71 is: 3,756.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,438.61 : 11,150.82 = 2,505.71 : x
  2. Step 2: Convert to fraction form
    7,438.61/11,150.82 = 2,505.71/x
  3. Step 3: Cross multiply
    7,438.61x = 11,150.82 × 2,505.71
  4. Step 4: Simplify right side
    7,438.61x = 27,940,665.43
  5. Step 5: Solve for x
    x = 27,940,665.43/7,438.61
  6. Step 6: Final answer
    x = 3,756.17

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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.