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Finding the Fourth Proportional to 10,132.67, 13,980.62 and 5,940.11

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Solution

The fourth proportional to 10,132.67, 13,980.62 and 5,940.11 is: 8,195.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,132.67 : 13,980.62 = 5,940.11 : x
  2. Step 2: Convert to fraction form
    10,132.67/13,980.62 = 5,940.11/x
  3. Step 3: Cross multiply
    10,132.67x = 13,980.62 × 5,940.11
  4. Step 4: Simplify right side
    10,132.67x = 83,046,420.67
  5. Step 5: Solve for x
    x = 83,046,420.67/10,132.67
  6. Step 6: Final answer
    x = 8,195.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.