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Finding the Fourth Proportional to 7,159.44, 9,874.17 and 5,041.98

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Solution

The fourth proportional to 7,159.44, 9,874.17 and 5,041.98 is: 6,953.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,159.44 : 9,874.17 = 5,041.98 : x
  2. Step 2: Convert to fraction form
    7,159.44/9,874.17 = 5,041.98/x
  3. Step 3: Cross multiply
    7,159.44x = 9,874.17 × 5,041.98
  4. Step 4: Simplify right side
    7,159.44x = 49,785,367.66
  5. Step 5: Solve for x
    x = 49,785,367.66/7,159.44
  6. Step 6: Final answer
    x = 6,953.81

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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.