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Finding the Fourth Proportional to 8,049.12, 11,108.07 and 4,691.40

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Solution

The fourth proportional to 8,049.12, 11,108.07 and 4,691.40 is: 6,474.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,049.12 : 11,108.07 = 4,691.40 : x
  2. Step 2: Convert to fraction form
    8,049.12/11,108.07 = 4,691.40/x
  3. Step 3: Cross multiply
    8,049.12x = 11,108.07 × 4,691.40
  4. Step 4: Simplify right side
    8,049.12x = 52,112,344.06
  5. Step 5: Solve for x
    x = 52,112,344.06/8,049.12
  6. Step 6: Final answer
    x = 6,474.29

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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.