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Finding the Fourth Proportional to 11,382.53, 15,710.40 and 7,396.71

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Solution

The fourth proportional to 11,382.53, 15,710.40 and 7,396.71 is: 10,209.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,382.53 : 15,710.40 = 7,396.71 : x
  2. Step 2: Convert to fraction form
    11,382.53/15,710.40 = 7,396.71/x
  3. Step 3: Cross multiply
    11,382.53x = 15,710.40 × 7,396.71
  4. Step 4: Simplify right side
    11,382.53x = 116,205,272.78
  5. Step 5: Solve for x
    x = 116,205,272.78/11,382.53
  6. Step 6: Final answer
    x = 10,209.09

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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.