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Finding the Fourth Proportional to 8,342.90, 11,514.42 and 4,805.42

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Solution

The fourth proportional to 8,342.90, 11,514.42 and 4,805.42 is: 6,632.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,342.90 : 11,514.42 = 4,805.42 : x
  2. Step 2: Convert to fraction form
    8,342.90/11,514.42 = 4,805.42/x
  3. Step 3: Cross multiply
    8,342.90x = 11,514.42 × 4,805.42
  4. Step 4: Simplify right side
    8,342.90x = 55,331,624.16
  5. Step 5: Solve for x
    x = 55,331,624.16/8,342.90
  6. Step 6: Final answer
    x = 6,632.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.