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Finding the Fourth Proportional to 8,291.70, 11,442.33 and 4,514.94

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Solution

The fourth proportional to 8,291.70, 11,442.33 and 4,514.94 is: 6,230.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,291.70 : 11,442.33 = 4,514.94 : x
  2. Step 2: Convert to fraction form
    8,291.70/11,442.33 = 4,514.94/x
  3. Step 3: Cross multiply
    8,291.70x = 11,442.33 × 4,514.94
  4. Step 4: Simplify right side
    8,291.70x = 51,661,433.41
  5. Step 5: Solve for x
    x = 51,661,433.41/8,291.70
  6. Step 6: Final answer
    x = 6,230.50

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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.