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Finding the Fourth Proportional to 7,743.71, 10,686.54 and 4,207.14

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Solution

The fourth proportional to 7,743.71, 10,686.54 and 4,207.14 is: 5,805.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,743.71 : 10,686.54 = 4,207.14 : x
  2. Step 2: Convert to fraction form
    7,743.71/10,686.54 = 4,207.14/x
  3. Step 3: Cross multiply
    7,743.71x = 10,686.54 × 4,207.14
  4. Step 4: Simplify right side
    7,743.71x = 44,959,769.90
  5. Step 5: Solve for x
    x = 44,959,769.90/7,743.71
  6. Step 6: Final answer
    x = 5,805.97

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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.