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Finding the Fourth Proportional to 8,290.69, 12,432.19 and 2,743.01

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Solution

The fourth proportional to 8,290.69, 12,432.19 and 2,743.01 is: 4,113.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,290.69 : 12,432.19 = 2,743.01 : x
  2. Step 2: Convert to fraction form
    8,290.69/12,432.19 = 2,743.01/x
  3. Step 3: Cross multiply
    8,290.69x = 12,432.19 × 2,743.01
  4. Step 4: Simplify right side
    8,290.69x = 34,101,552.47
  5. Step 5: Solve for x
    x = 34,101,552.47/8,290.69
  6. Step 6: Final answer
    x = 4,113.24

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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.