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Finding the Fourth Proportional to 7,498.82, 10,348.38 and 4,141.64

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Solution

The fourth proportional to 7,498.82, 10,348.38 and 4,141.64 is: 5,715.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,498.82 : 10,348.38 = 4,141.64 : x
  2. Step 2: Convert to fraction form
    7,498.82/10,348.38 = 4,141.64/x
  3. Step 3: Cross multiply
    7,498.82x = 10,348.38 × 4,141.64
  4. Step 4: Simplify right side
    7,498.82x = 42,859,264.54
  5. Step 5: Solve for x
    x = 42,859,264.54/7,498.82
  6. Step 6: Final answer
    x = 5,715.47

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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.