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Finding the Fourth Proportional to 11,373.42, 15,694.11 and 6,657.90

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Solution

The fourth proportional to 11,373.42, 15,694.11 and 6,657.90 is: 9,187.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,373.42 : 15,694.11 = 6,657.90 : x
  2. Step 2: Convert to fraction form
    11,373.42/15,694.11 = 6,657.90/x
  3. Step 3: Cross multiply
    11,373.42x = 15,694.11 × 6,657.90
  4. Step 4: Simplify right side
    11,373.42x = 104,489,814.97
  5. Step 5: Solve for x
    x = 104,489,814.97/11,373.42
  6. Step 6: Final answer
    x = 9,187.19

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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.