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Finding the Fourth Proportional to 8,077.59, 11,146.08 and 4,717.97

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Solution

The fourth proportional to 8,077.59, 11,146.08 and 4,717.97 is: 6,510.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,077.59 : 11,146.08 = 4,717.97 : x
  2. Step 2: Convert to fraction form
    8,077.59/11,146.08 = 4,717.97/x
  3. Step 3: Cross multiply
    8,077.59x = 11,146.08 × 4,717.97
  4. Step 4: Simplify right side
    8,077.59x = 52,586,815.33
  5. Step 5: Solve for x
    x = 52,586,815.33/8,077.59
  6. Step 6: Final answer
    x = 6,510.21

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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.