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Finding the Fourth Proportional to 8,296.48, 12,444.80 and 2,453.12

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Solution

The fourth proportional to 8,296.48, 12,444.80 and 2,453.12 is: 3,679.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,296.48 : 12,444.80 = 2,453.12 : x
  2. Step 2: Convert to fraction form
    8,296.48/12,444.80 = 2,453.12/x
  3. Step 3: Cross multiply
    8,296.48x = 12,444.80 × 2,453.12
  4. Step 4: Simplify right side
    8,296.48x = 30,528,587.78
  5. Step 5: Solve for x
    x = 30,528,587.78/8,296.48
  6. Step 6: Final answer
    x = 3,679.70

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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.