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Finding the Fourth Proportional to 7,498.26, 10,347.12 and 4,354.38

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Solution

The fourth proportional to 7,498.26, 10,347.12 and 4,354.38 is: 6,008.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,498.26 : 10,347.12 = 4,354.38 : x
  2. Step 2: Convert to fraction form
    7,498.26/10,347.12 = 4,354.38/x
  3. Step 3: Cross multiply
    7,498.26x = 10,347.12 × 4,354.38
  4. Step 4: Simplify right side
    7,498.26x = 45,055,292.39
  5. Step 5: Solve for x
    x = 45,055,292.39/7,498.26
  6. Step 6: Final answer
    x = 6,008.77

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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.