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Finding the Fourth Proportional to 8,298.30, 12,445.92 and 2,453.52

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Solution

The fourth proportional to 8,298.30, 12,445.92 and 2,453.52 is: 3,679.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,298.30 : 12,445.92 = 2,453.52 : x
  2. Step 2: Convert to fraction form
    8,298.30/12,445.92 = 2,453.52/x
  3. Step 3: Cross multiply
    8,298.30x = 12,445.92 × 2,453.52
  4. Step 4: Simplify right side
    8,298.30x = 30,536,313.64
  5. Step 5: Solve for x
    x = 30,536,313.64/8,298.30
  6. Step 6: Final answer
    x = 3,679.83

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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.