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Finding the Fourth Proportional to 11,070.38, 15,269.64 and 8,708.42

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Solution

The fourth proportional to 11,070.38, 15,269.64 and 8,708.42 is: 12,011.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,070.38 : 15,269.64 = 8,708.42 : x
  2. Step 2: Convert to fraction form
    11,070.38/15,269.64 = 8,708.42/x
  3. Step 3: Cross multiply
    11,070.38x = 15,269.64 × 8,708.42
  4. Step 4: Simplify right side
    11,070.38x = 132,974,438.37
  5. Step 5: Solve for x
    x = 132,974,438.37/11,070.38
  6. Step 6: Final answer
    x = 12,011.73

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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.