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Finding the Fourth Proportional to 8,588.40, 12,884.16 and 2,743.68

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Solution

The fourth proportional to 8,588.40, 12,884.16 and 2,743.68 is: 4,116.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,588.40 : 12,884.16 = 2,743.68 : x
  2. Step 2: Convert to fraction form
    8,588.40/12,884.16 = 2,743.68/x
  3. Step 3: Cross multiply
    8,588.40x = 12,884.16 × 2,743.68
  4. Step 4: Simplify right side
    8,588.40x = 35,350,012.11
  5. Step 5: Solve for x
    x = 35,350,012.11/8,588.40
  6. Step 6: Final answer
    x = 4,116.02

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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.