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Finding the Fourth Proportional to 11,337.68, 15,640.62 and 7,143.50

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Solution

The fourth proportional to 11,337.68, 15,640.62 and 7,143.50 is: 9,854.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,337.68 : 15,640.62 = 7,143.50 : x
  2. Step 2: Convert to fraction form
    11,337.68/15,640.62 = 7,143.50/x
  3. Step 3: Cross multiply
    11,337.68x = 15,640.62 × 7,143.50
  4. Step 4: Simplify right side
    11,337.68x = 111,728,768.97
  5. Step 5: Solve for x
    x = 111,728,768.97/11,337.68
  6. Step 6: Final answer
    x = 9,854.64

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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.