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Finding the Fourth Proportional to 11,202.89, 15,459.12 and 6,422.78

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Solution

The fourth proportional to 11,202.89, 15,459.12 and 6,422.78 is: 8,862.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,202.89 : 15,459.12 = 6,422.78 : x
  2. Step 2: Convert to fraction form
    11,202.89/15,459.12 = 6,422.78/x
  3. Step 3: Cross multiply
    11,202.89x = 15,459.12 × 6,422.78
  4. Step 4: Simplify right side
    11,202.89x = 99,290,449.46
  5. Step 5: Solve for x
    x = 99,290,449.46/11,202.89
  6. Step 6: Final answer
    x = 8,862.94

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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.