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Finding the Fourth Proportional to 8,702.68, 13,053.61 and 2,859.34

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Solution

The fourth proportional to 8,702.68, 13,053.61 and 2,859.34 is: 4,288.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,702.68 : 13,053.61 = 2,859.34 : x
  2. Step 2: Convert to fraction form
    8,702.68/13,053.61 = 2,859.34/x
  3. Step 3: Cross multiply
    8,702.68x = 13,053.61 × 2,859.34
  4. Step 4: Simplify right side
    8,702.68x = 37,324,629.65
  5. Step 5: Solve for x
    x = 37,324,629.65/8,702.68
  6. Step 6: Final answer
    x = 4,288.87

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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.