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Finding the Fourth Proportional to 8,432.53, 12,647.71 and 2,588.65

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Solution

The fourth proportional to 8,432.53, 12,647.71 and 2,588.65 is: 3,882.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,432.53 : 12,647.71 = 2,588.65 : x
  2. Step 2: Convert to fraction form
    8,432.53/12,647.71 = 2,588.65/x
  3. Step 3: Cross multiply
    8,432.53x = 12,647.71 × 2,588.65
  4. Step 4: Simplify right side
    8,432.53x = 32,740,466.11
  5. Step 5: Solve for x
    x = 32,740,466.11/8,432.53
  6. Step 6: Final answer
    x = 3,882.64

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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.