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Finding the Fourth Proportional to 11,346.38, 15,657.09 and 6,310.61

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Solution

The fourth proportional to 11,346.38, 15,657.09 and 6,310.61 is: 8,708.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,346.38 : 15,657.09 = 6,310.61 : x
  2. Step 2: Convert to fraction form
    11,346.38/15,657.09 = 6,310.61/x
  3. Step 3: Cross multiply
    11,346.38x = 15,657.09 × 6,310.61
  4. Step 4: Simplify right side
    11,346.38x = 98,805,788.72
  5. Step 5: Solve for x
    x = 98,805,788.72/11,346.38
  6. Step 6: Final answer
    x = 8,708.13

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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.