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Finding the Fourth Proportional to 8,291.18, 11,442.04 and 4,514.48

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Solution

The fourth proportional to 8,291.18, 11,442.04 and 4,514.48 is: 6,230.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,291.18 : 11,442.04 = 4,514.48 : x
  2. Step 2: Convert to fraction form
    8,291.18/11,442.04 = 4,514.48/x
  3. Step 3: Cross multiply
    8,291.18x = 11,442.04 × 4,514.48
  4. Step 4: Simplify right side
    8,291.18x = 51,654,860.74
  5. Step 5: Solve for x
    x = 51,654,860.74/8,291.18
  6. Step 6: Final answer
    x = 6,230.10

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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.