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Finding the Fourth Proportional to 10,287.39, 15,414.89 and 7,953.12

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Solution

The fourth proportional to 10,287.39, 15,414.89 and 7,953.12 is: 11,917.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,287.39 : 15,414.89 = 7,953.12 : x
  2. Step 2: Convert to fraction form
    10,287.39/15,414.89 = 7,953.12/x
  3. Step 3: Cross multiply
    10,287.39x = 15,414.89 × 7,953.12
  4. Step 4: Simplify right side
    10,287.39x = 122,596,474.93
  5. Step 5: Solve for x
    x = 122,596,474.93/10,287.39
  6. Step 6: Final answer
    x = 11,917.16

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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.