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Finding the Fourth Proportional to 7,186.38, 9,917.15 and 4,042.50

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Solution

The fourth proportional to 7,186.38, 9,917.15 and 4,042.50 is: 5,578.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,186.38 : 9,917.15 = 4,042.50 : x
  2. Step 2: Convert to fraction form
    7,186.38/9,917.15 = 4,042.50/x
  3. Step 3: Cross multiply
    7,186.38x = 9,917.15 × 4,042.50
  4. Step 4: Simplify right side
    7,186.38x = 40,090,058.66
  5. Step 5: Solve for x
    x = 40,090,058.66/7,186.38
  6. Step 6: Final answer
    x = 5,578.62

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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.