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Finding the Fourth Proportional to 8,497.50, 12,743.16 and 2,949.36

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Solution

The fourth proportional to 8,497.50, 12,743.16 and 2,949.36 is: 4,422.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,497.50 : 12,743.16 = 2,949.36 : x
  2. Step 2: Convert to fraction form
    8,497.50/12,743.16 = 2,949.36/x
  3. Step 3: Cross multiply
    8,497.50x = 12,743.16 × 2,949.36
  4. Step 4: Simplify right side
    8,497.50x = 37,584,166.38
  5. Step 5: Solve for x
    x = 37,584,166.38/8,497.50
  6. Step 6: Final answer
    x = 4,422.97

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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.