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Finding the Fourth Proportional to 11,870.14, 16,394.24 and 8,086.74

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Solution

The fourth proportional to 11,870.14, 16,394.24 and 8,086.74 is: 11,168.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,870.14 : 16,394.24 = 8,086.74 : x
  2. Step 2: Convert to fraction form
    11,870.14/16,394.24 = 8,086.74/x
  3. Step 3: Cross multiply
    11,870.14x = 16,394.24 × 8,086.74
  4. Step 4: Simplify right side
    11,870.14x = 132,575,956.38
  5. Step 5: Solve for x
    x = 132,575,956.38/11,870.14
  6. Step 6: Final answer
    x = 11,168.86

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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.