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Finding the Fourth Proportional to 11,202.88, 15,459.68 and 6,167.20

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Solution

The fourth proportional to 11,202.88, 15,459.68 and 6,167.20 is: 8,510.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,202.88 : 15,459.68 = 6,167.20 : x
  2. Step 2: Convert to fraction form
    11,202.88/15,459.68 = 6,167.20/x
  3. Step 3: Cross multiply
    11,202.88x = 15,459.68 × 6,167.20
  4. Step 4: Simplify right side
    11,202.88x = 95,342,938.50
  5. Step 5: Solve for x
    x = 95,342,938.50/11,202.88
  6. Step 6: Final answer
    x = 8,510.57

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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.