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Finding the Fourth Proportional to 7,925.92, 11,882.16 and 3,182.56

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Solution

The fourth proportional to 7,925.92, 11,882.16 and 3,182.56 is: 4,771.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,925.92 : 11,882.16 = 3,182.56 : x
  2. Step 2: Convert to fraction form
    7,925.92/11,882.16 = 3,182.56/x
  3. Step 3: Cross multiply
    7,925.92x = 11,882.16 × 3,182.56
  4. Step 4: Simplify right side
    7,925.92x = 37,815,687.13
  5. Step 5: Solve for x
    x = 37,815,687.13/7,925.92
  6. Step 6: Final answer
    x = 4,771.14

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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.