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Finding the Fourth Proportional to 8,349.38, 12,514.65 and 3,416.33

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Solution

The fourth proportional to 8,349.38, 12,514.65 and 3,416.33 is: 5,120.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,349.38 : 12,514.65 = 3,416.33 : x
  2. Step 2: Convert to fraction form
    8,349.38/12,514.65 = 3,416.33/x
  3. Step 3: Cross multiply
    8,349.38x = 12,514.65 × 3,416.33
  4. Step 4: Simplify right side
    8,349.38x = 42,754,141.53
  5. Step 5: Solve for x
    x = 42,754,141.53/8,349.38
  6. Step 6: Final answer
    x = 5,120.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.