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Finding the Fourth Proportional to 10,926.70, 15,078.78 and 6,211.90

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Solution

The fourth proportional to 10,926.70, 15,078.78 and 6,211.90 is: 8,572.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,926.70 : 15,078.78 = 6,211.90 : x
  2. Step 2: Convert to fraction form
    10,926.70/15,078.78 = 6,211.90/x
  3. Step 3: Cross multiply
    10,926.70x = 15,078.78 × 6,211.90
  4. Step 4: Simplify right side
    10,926.70x = 93,667,873.48
  5. Step 5: Solve for x
    x = 93,667,873.48/10,926.70
  6. Step 6: Final answer
    x = 8,572.38

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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.