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Finding the Fourth Proportional to 10,870.38, 15,003.81 and 6,157.44

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Solution

The fourth proportional to 10,870.38, 15,003.81 and 6,157.44 is: 8,498.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,870.38 : 15,003.81 = 6,157.44 : x
  2. Step 2: Convert to fraction form
    10,870.38/15,003.81 = 6,157.44/x
  3. Step 3: Cross multiply
    10,870.38x = 15,003.81 × 6,157.44
  4. Step 4: Simplify right side
    10,870.38x = 92,385,059.85
  5. Step 5: Solve for x
    x = 92,385,059.85/10,870.38
  6. Step 6: Final answer
    x = 8,498.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.