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Finding the Fourth Proportional to 7,242.38, 9,995.43 and 4,098.57

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Solution

The fourth proportional to 7,242.38, 9,995.43 and 4,098.57 is: 5,656.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,242.38 : 9,995.43 = 4,098.57 : x
  2. Step 2: Convert to fraction form
    7,242.38/9,995.43 = 4,098.57/x
  3. Step 3: Cross multiply
    7,242.38x = 9,995.43 × 4,098.57
  4. Step 4: Simplify right side
    7,242.38x = 40,966,969.54
  5. Step 5: Solve for x
    x = 40,966,969.54/7,242.38
  6. Step 6: Final answer
    x = 5,656.57

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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.