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Finding the Fourth Proportional to 7,192.88, 9,926.36 and 4,049.18

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Solution

The fourth proportional to 7,192.88, 9,926.36 and 4,049.18 is: 5,587.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,192.88 : 9,926.36 = 4,049.18 : x
  2. Step 2: Convert to fraction form
    7,192.88/9,926.36 = 4,049.18/x
  3. Step 3: Cross multiply
    7,192.88x = 9,926.36 × 4,049.18
  4. Step 4: Simplify right side
    7,192.88x = 40,193,618.38
  5. Step 5: Solve for x
    x = 40,193,618.38/7,192.88
  6. Step 6: Final answer
    x = 5,587.97

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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.