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Finding the Fourth Proportional to 12,140.57, 18,203.32 and 5,116.97

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Solution

The fourth proportional to 12,140.57, 18,203.32 and 5,116.97 is: 7,672.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,140.57 : 18,203.32 = 5,116.97 : x
  2. Step 2: Convert to fraction form
    12,140.57/18,203.32 = 5,116.97/x
  3. Step 3: Cross multiply
    12,140.57x = 18,203.32 × 5,116.97
  4. Step 4: Simplify right side
    12,140.57x = 93,145,894.24
  5. Step 5: Solve for x
    x = 93,145,894.24/12,140.57
  6. Step 6: Final answer
    x = 7,672.28

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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.