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Finding the Fourth Proportional to 8,291.80, 12,439.74 and 6,813.52

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Solution

The fourth proportional to 8,291.80, 12,439.74 and 6,813.52 is: 10,221.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,291.80 : 12,439.74 = 6,813.52 : x
  2. Step 2: Convert to fraction form
    8,291.80/12,439.74 = 6,813.52/x
  3. Step 3: Cross multiply
    8,291.80x = 12,439.74 × 6,813.52
  4. Step 4: Simplify right side
    8,291.80x = 84,758,417.28
  5. Step 5: Solve for x
    x = 84,758,417.28/8,291.80
  6. Step 6: Final answer
    x = 10,221.96

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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.