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Finding the Fourth Proportional to 8,580.96, 12,869.28 and 2,734.56

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Solution

The fourth proportional to 8,580.96, 12,869.28 and 2,734.56 is: 4,101.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,580.96 : 12,869.28 = 2,734.56 : x
  2. Step 2: Convert to fraction form
    8,580.96/12,869.28 = 2,734.56/x
  3. Step 3: Cross multiply
    8,580.96x = 12,869.28 × 2,734.56
  4. Step 4: Simplify right side
    8,580.96x = 35,191,818.32
  5. Step 5: Solve for x
    x = 35,191,818.32/8,580.96
  6. Step 6: Final answer
    x = 4,101.15

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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.