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Finding the Fourth Proportional to 8,296.32, 12,443.84 and 2,456.72

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Solution

The fourth proportional to 8,296.32, 12,443.84 and 2,456.72 is: 3,684.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,296.32 : 12,443.84 = 2,456.72 : x
  2. Step 2: Convert to fraction form
    8,296.32/12,443.84 = 2,456.72/x
  3. Step 3: Cross multiply
    8,296.32x = 12,443.84 × 2,456.72
  4. Step 4: Simplify right side
    8,296.32x = 30,571,030.60
  5. Step 5: Solve for x
    x = 30,571,030.60/8,296.32
  6. Step 6: Final answer
    x = 3,684.89

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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.