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Finding the Fourth Proportional to 8,432.89, 12,647.04 and 2,509.76

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Solution

The fourth proportional to 8,432.89, 12,647.04 and 2,509.76 is: 3,763.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,432.89 : 12,647.04 = 2,509.76 : x
  2. Step 2: Convert to fraction form
    8,432.89/12,647.04 = 2,509.76/x
  3. Step 3: Cross multiply
    8,432.89x = 12,647.04 × 2,509.76
  4. Step 4: Simplify right side
    8,432.89x = 31,741,035.11
  5. Step 5: Solve for x
    x = 31,741,035.11/8,432.89
  6. Step 6: Final answer
    x = 3,763.96

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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.