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Finding the Fourth Proportional to 7,882.36, 10,867.20 and 6,532.92

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Solution

The fourth proportional to 7,882.36, 10,867.20 and 6,532.92 is: 9,006.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,882.36 : 10,867.20 = 6,532.92 : x
  2. Step 2: Convert to fraction form
    7,882.36/10,867.20 = 6,532.92/x
  3. Step 3: Cross multiply
    7,882.36x = 10,867.20 × 6,532.92
  4. Step 4: Simplify right side
    7,882.36x = 70,994,548.22
  5. Step 5: Solve for x
    x = 70,994,548.22/7,882.36
  6. Step 6: Final answer
    x = 9,006.76

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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.