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Finding the Fourth Proportional to 7,863.81, 11,842.55 and 7,092.69

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Solution

The fourth proportional to 7,863.81, 11,842.55 and 7,092.69 is: 10,681.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,863.81 : 11,842.55 = 7,092.69 : x
  2. Step 2: Convert to fraction form
    7,863.81/11,842.55 = 7,092.69/x
  3. Step 3: Cross multiply
    7,863.81x = 11,842.55 × 7,092.69
  4. Step 4: Simplify right side
    7,863.81x = 83,995,500.50
  5. Step 5: Solve for x
    x = 83,995,500.50/7,863.81
  6. Step 6: Final answer
    x = 10,681.27

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.