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Finding the Fourth Proportional to 7,498.42, 10,347.67 and 4,141.04

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Solution

The fourth proportional to 7,498.42, 10,347.67 and 4,141.04 is: 5,714.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,498.42 : 10,347.67 = 4,141.04 : x
  2. Step 2: Convert to fraction form
    7,498.42/10,347.67 = 4,141.04/x
  3. Step 3: Cross multiply
    7,498.42x = 10,347.67 × 4,141.04
  4. Step 4: Simplify right side
    7,498.42x = 42,850,115.38
  5. Step 5: Solve for x
    x = 42,850,115.38/7,498.42
  6. Step 6: Final answer
    x = 5,714.55

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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.