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Finding the Fourth Proportional to 7,882.25, 10,866.18 and 6,200.74

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Solution

The fourth proportional to 7,882.25, 10,866.18 and 6,200.74 is: 8,548.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,882.25 : 10,866.18 = 6,200.74 : x
  2. Step 2: Convert to fraction form
    7,882.25/10,866.18 = 6,200.74/x
  3. Step 3: Cross multiply
    7,882.25x = 10,866.18 × 6,200.74
  4. Step 4: Simplify right side
    7,882.25x = 67,378,332.69
  5. Step 5: Solve for x
    x = 67,378,332.69/7,882.25
  6. Step 6: Final answer
    x = 8,548.11

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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.