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Finding the Fourth Proportional to 7,882.49, 10,882.29 and 5,233.52

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Solution

The fourth proportional to 7,882.49, 10,882.29 and 5,233.52 is: 7,225.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,882.49 : 10,882.29 = 5,233.52 : x
  2. Step 2: Convert to fraction form
    7,882.49/10,882.29 = 5,233.52/x
  3. Step 3: Cross multiply
    7,882.49x = 10,882.29 × 5,233.52
  4. Step 4: Simplify right side
    7,882.49x = 56,952,601.78
  5. Step 5: Solve for x
    x = 56,952,601.78/7,882.49
  6. Step 6: Final answer
    x = 7,225.21

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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.