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Finding the Fourth Proportional to 8,461.60, 12,688.56 and 5,497.12

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Solution

The fourth proportional to 8,461.60, 12,688.56 and 5,497.12 is: 8,243.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,461.60 : 12,688.56 = 5,497.12 : x
  2. Step 2: Convert to fraction form
    8,461.60/12,688.56 = 5,497.12/x
  3. Step 3: Cross multiply
    8,461.60x = 12,688.56 × 5,497.12
  4. Step 4: Simplify right side
    8,461.60x = 69,750,536.95
  5. Step 5: Solve for x
    x = 69,750,536.95/8,461.60
  6. Step 6: Final answer
    x = 8,243.19

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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.