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Finding the Fourth Proportional to 8,706.57, 13,060.01 and 2,132.80

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Solution

The fourth proportional to 8,706.57, 13,060.01 and 2,132.80 is: 3,199.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,706.57 : 13,060.01 = 2,132.80 : x
  2. Step 2: Convert to fraction form
    8,706.57/13,060.01 = 2,132.80/x
  3. Step 3: Cross multiply
    8,706.57x = 13,060.01 × 2,132.80
  4. Step 4: Simplify right side
    8,706.57x = 27,854,389.33
  5. Step 5: Solve for x
    x = 27,854,389.33/8,706.57
  6. Step 6: Final answer
    x = 3,199.24

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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.