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Finding the Fourth Proportional to 7,192.56, 9,926.16 and 4,398.60

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Solution

The fourth proportional to 7,192.56, 9,926.16 and 4,398.60 is: 6,070.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,192.56 : 9,926.16 = 4,398.60 : x
  2. Step 2: Convert to fraction form
    7,192.56/9,926.16 = 4,398.60/x
  3. Step 3: Cross multiply
    7,192.56x = 9,926.16 × 4,398.60
  4. Step 4: Simplify right side
    7,192.56x = 43,661,207.38
  5. Step 5: Solve for x
    x = 43,661,207.38/7,192.56
  6. Step 6: Final answer
    x = 6,070.33

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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.