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Finding the Fourth Proportional to 8,702.83, 12,010.17 and 5,117.14

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Solution

The fourth proportional to 8,702.83, 12,010.17 and 5,117.14 is: 7,061.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,702.83 : 12,010.17 = 5,117.14 : x
  2. Step 2: Convert to fraction form
    8,702.83/12,010.17 = 5,117.14/x
  3. Step 3: Cross multiply
    8,702.83x = 12,010.17 × 5,117.14
  4. Step 4: Simplify right side
    8,702.83x = 61,457,659.17
  5. Step 5: Solve for x
    x = 61,457,659.17/8,702.83
  6. Step 6: Final answer
    x = 7,061.81

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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.