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Finding the Fourth Proportional to 8,588.96, 12,884.72 and 2,432.80

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Solution

The fourth proportional to 8,588.96, 12,884.72 and 2,432.80 is: 3,649.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,588.96 : 12,884.72 = 2,432.80 : x
  2. Step 2: Convert to fraction form
    8,588.96/12,884.72 = 2,432.80/x
  3. Step 3: Cross multiply
    8,588.96x = 12,884.72 × 2,432.80
  4. Step 4: Simplify right side
    8,588.96x = 31,345,946.82
  5. Step 5: Solve for x
    x = 31,345,946.82/8,588.96
  6. Step 6: Final answer
    x = 3,649.56

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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.