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Finding the Fourth Proportional to 8,291.34, 11,442.24 and 4,514.72

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Solution

The fourth proportional to 8,291.34, 11,442.24 and 4,514.72 is: 6,230.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,291.34 : 11,442.24 = 4,514.72 : x
  2. Step 2: Convert to fraction form
    8,291.34/11,442.24 = 4,514.72/x
  3. Step 3: Cross multiply
    8,291.34x = 11,442.24 × 4,514.72
  4. Step 4: Simplify right side
    8,291.34x = 51,658,509.77
  5. Step 5: Solve for x
    x = 51,658,509.77/8,291.34
  6. Step 6: Final answer
    x = 6,230.42

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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.