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Finding the Fourth Proportional to 8,290.24, 12,423.04 and 6,539.52

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Solution

The fourth proportional to 8,290.24, 12,423.04 and 6,539.52 is: 9,799.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,290.24 : 12,423.04 = 6,539.52 : x
  2. Step 2: Convert to fraction form
    8,290.24/12,423.04 = 6,539.52/x
  3. Step 3: Cross multiply
    8,290.24x = 12,423.04 × 6,539.52
  4. Step 4: Simplify right side
    8,290.24x = 81,240,718.54
  5. Step 5: Solve for x
    x = 81,240,718.54/8,290.24
  6. Step 6: Final answer
    x = 9,799.56

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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.