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Finding the Fourth Proportional to 11,202.93, 15,459.49 and 6,167.02

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Solution

The fourth proportional to 11,202.93, 15,459.49 and 6,167.02 is: 8,510.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,202.93 : 15,459.49 = 6,167.02 : x
  2. Step 2: Convert to fraction form
    11,202.93/15,459.49 = 6,167.02/x
  3. Step 3: Cross multiply
    11,202.93x = 15,459.49 × 6,167.02
  4. Step 4: Simplify right side
    11,202.93x = 95,339,034.28
  5. Step 5: Solve for x
    x = 95,339,034.28/11,202.93
  6. Step 6: Final answer
    x = 8,510.19

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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.