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Finding the Fourth Proportional to 11,314.79, 15,614.76 and 6,279.38

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Solution

The fourth proportional to 11,314.79, 15,614.76 and 6,279.38 is: 8,665.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,314.79 : 15,614.76 = 6,279.38 : x
  2. Step 2: Convert to fraction form
    11,314.79/15,614.76 = 6,279.38/x
  3. Step 3: Cross multiply
    11,314.79x = 15,614.76 × 6,279.38
  4. Step 4: Simplify right side
    11,314.79x = 98,050,933.58
  5. Step 5: Solve for x
    x = 98,050,933.58/11,314.79
  6. Step 6: Final answer
    x = 8,665.74

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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.