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Finding the Fourth Proportional to 7,095.24, 9,791.28 and 4,111.20

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Solution

The fourth proportional to 7,095.24, 9,791.28 and 4,111.20 is: 5,673.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,095.24 : 9,791.28 = 4,111.20 : x
  2. Step 2: Convert to fraction form
    7,095.24/9,791.28 = 4,111.20/x
  3. Step 3: Cross multiply
    7,095.24x = 9,791.28 × 4,111.20
  4. Step 4: Simplify right side
    7,095.24x = 40,253,910.34
  5. Step 5: Solve for x
    x = 40,253,910.34/7,095.24
  6. Step 6: Final answer
    x = 5,673.37

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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.