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Finding the Fourth Proportional to 8,686.80, 13,049.40 and 8,456.40

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Solution

The fourth proportional to 8,686.80, 13,049.40 and 8,456.40 is: 12,703.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,686.80 : 13,049.40 = 8,456.40 : x
  2. Step 2: Convert to fraction form
    8,686.80/13,049.40 = 8,456.40/x
  3. Step 3: Cross multiply
    8,686.80x = 13,049.40 × 8,456.40
  4. Step 4: Simplify right side
    8,686.80x = 110,350,946.16
  5. Step 5: Solve for x
    x = 110,350,946.16/8,686.80
  6. Step 6: Final answer
    x = 12,703.29

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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.