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Finding the Fourth Proportional to 11,051.68, 15,251.16 and 6,335.68

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Solution

The fourth proportional to 11,051.68, 15,251.16 and 6,335.68 is: 8,743.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,051.68 : 15,251.16 = 6,335.68 : x
  2. Step 2: Convert to fraction form
    11,051.68/15,251.16 = 6,335.68/x
  3. Step 3: Cross multiply
    11,051.68x = 15,251.16 × 6,335.68
  4. Step 4: Simplify right side
    11,051.68x = 96,626,469.39
  5. Step 5: Solve for x
    x = 96,626,469.39/11,051.68
  6. Step 6: Final answer
    x = 8,743.15

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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.