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Finding the Fourth Proportional to 7,407.14, 11,097.90 and 3,891.92

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Solution

The fourth proportional to 7,407.14, 11,097.90 and 3,891.92 is: 5,831.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,407.14 : 11,097.90 = 3,891.92 : x
  2. Step 2: Convert to fraction form
    7,407.14/11,097.90 = 3,891.92/x
  3. Step 3: Cross multiply
    7,407.14x = 11,097.90 × 3,891.92
  4. Step 4: Simplify right side
    7,407.14x = 43,192,083.48
  5. Step 5: Solve for x
    x = 43,192,083.48/7,407.14
  6. Step 6: Final answer
    x = 5,831.15

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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.