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Finding the Fourth Proportional to 10,062.86, 15,101.19 and 3,489.05

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Solution

The fourth proportional to 10,062.86, 15,101.19 and 3,489.05 is: 5,235.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,062.86 : 15,101.19 = 3,489.05 : x
  2. Step 2: Convert to fraction form
    10,062.86/15,101.19 = 3,489.05/x
  3. Step 3: Cross multiply
    10,062.86x = 15,101.19 × 3,489.05
  4. Step 4: Simplify right side
    10,062.86x = 52,688,844.72
  5. Step 5: Solve for x
    x = 52,688,844.72/10,062.86
  6. Step 6: Final answer
    x = 5,235.97

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Why These Related Problems?

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