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Finding the Fourth Proportional to 8,227.62, 12,346.56 and 3,033

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Solution

The fourth proportional to 8,227.62, 12,346.56 and 3,033 is: 4,551.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,227.62 : 12,346.56 = 3,033 : x
  2. Step 2: Convert to fraction form
    8,227.62/12,346.56 = 3,033/x
  3. Step 3: Cross multiply
    8,227.62x = 12,346.56 × 3,033
  4. Step 4: Simplify right side
    8,227.62x = 37,447,116.48
  5. Step 5: Solve for x
    x = 37,447,116.48/8,227.62
  6. Step 6: Final answer
    x = 4,551.39

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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.