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Finding the Fourth Proportional to 7,884.06, 10,882.17 and 4,898.19

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Solution

The fourth proportional to 7,884.06, 10,882.17 and 4,898.19 is: 6,760.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884.06 : 10,882.17 = 4,898.19 : x
  2. Step 2: Convert to fraction form
    7,884.06/10,882.17 = 4,898.19/x
  3. Step 3: Cross multiply
    7,884.06x = 10,882.17 × 4,898.19
  4. Step 4: Simplify right side
    7,884.06x = 53,302,936.27
  5. Step 5: Solve for x
    x = 53,302,936.27/7,884.06
  6. Step 6: Final answer
    x = 6,760.85

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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.