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Finding the Fourth Proportional to 8,049.48, 11,107.12 and 4,691.76

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Solution

The fourth proportional to 8,049.48, 11,107.12 and 4,691.76 is: 6,473.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,049.48 : 11,107.12 = 4,691.76 : x
  2. Step 2: Convert to fraction form
    8,049.48/11,107.12 = 4,691.76/x
  3. Step 3: Cross multiply
    8,049.48x = 11,107.12 × 4,691.76
  4. Step 4: Simplify right side
    8,049.48x = 52,111,941.33
  5. Step 5: Solve for x
    x = 52,111,941.33/8,049.48
  6. Step 6: Final answer
    x = 6,473.95

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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.