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Finding the Fourth Proportional to 10,113.52, 15,171 and 5,959.60

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Solution

The fourth proportional to 10,113.52, 15,171 and 5,959.60 is: 8,939.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,113.52 : 15,171 = 5,959.60 : x
  2. Step 2: Convert to fraction form
    10,113.52/15,171 = 5,959.60/x
  3. Step 3: Cross multiply
    10,113.52x = 15,171 × 5,959.60
  4. Step 4: Simplify right side
    10,113.52x = 90,413,091.60
  5. Step 5: Solve for x
    x = 90,413,091.60/10,113.52
  6. Step 6: Final answer
    x = 8,939.82

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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.