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Finding the Fourth Proportional to 7,044.92, 10,564.41 and 2,882.06

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Solution

The fourth proportional to 7,044.92, 10,564.41 and 2,882.06 is: 4,321.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,044.92 : 10,564.41 = 2,882.06 : x
  2. Step 2: Convert to fraction form
    7,044.92/10,564.41 = 2,882.06/x
  3. Step 3: Cross multiply
    7,044.92x = 10,564.41 × 2,882.06
  4. Step 4: Simplify right side
    7,044.92x = 30,447,263.48
  5. Step 5: Solve for x
    x = 30,447,263.48/7,044.92
  6. Step 6: Final answer
    x = 4,321.87

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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.