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Finding the Fourth Proportional to 10,147.95, 15,228 and 3,579.66

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Solution

The fourth proportional to 10,147.95, 15,228 and 3,579.66 is: 5,371.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,147.95 : 15,228 = 3,579.66 : x
  2. Step 2: Convert to fraction form
    10,147.95/15,228 = 3,579.66/x
  3. Step 3: Cross multiply
    10,147.95x = 15,228 × 3,579.66
  4. Step 4: Simplify right side
    10,147.95x = 54,511,062.48
  5. Step 5: Solve for x
    x = 54,511,062.48/10,147.95
  6. Step 6: Final answer
    x = 5,371.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.