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Finding the Fourth Proportional to 8,688.56, 13,049.40 and 5,407.76

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Solution

The fourth proportional to 8,688.56, 13,049.40 and 5,407.76 is: 8,121.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,688.56 : 13,049.40 = 5,407.76 : x
  2. Step 2: Convert to fraction form
    8,688.56/13,049.40 = 5,407.76/x
  3. Step 3: Cross multiply
    8,688.56x = 13,049.40 × 5,407.76
  4. Step 4: Simplify right side
    8,688.56x = 70,568,023.34
  5. Step 5: Solve for x
    x = 70,568,023.34/8,688.56
  6. Step 6: Final answer
    x = 8,121.95

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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.