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Finding the Fourth Proportional to 10,998.12, 15,177.24 and 5,962.25

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Solution

The fourth proportional to 10,998.12, 15,177.24 and 5,962.25 is: 8,227.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,998.12 : 15,177.24 = 5,962.25 : x
  2. Step 2: Convert to fraction form
    10,998.12/15,177.24 = 5,962.25/x
  3. Step 3: Cross multiply
    10,998.12x = 15,177.24 × 5,962.25
  4. Step 4: Simplify right side
    10,998.12x = 90,490,499.19
  5. Step 5: Solve for x
    x = 90,490,499.19/10,998.12
  6. Step 6: Final answer
    x = 8,227.82

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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.