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Finding the Fourth Proportional to 8,343.30, 12,514.68 and 3,411.62

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Solution

The fourth proportional to 8,343.30, 12,514.68 and 3,411.62 is: 5,117.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,343.30 : 12,514.68 = 3,411.62 : x
  2. Step 2: Convert to fraction form
    8,343.30/12,514.68 = 3,411.62/x
  3. Step 3: Cross multiply
    8,343.30x = 12,514.68 × 3,411.62
  4. Step 4: Simplify right side
    8,343.30x = 42,695,270.01
  5. Step 5: Solve for x
    x = 42,695,270.01/8,343.30
  6. Step 6: Final answer
    x = 5,117.31

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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.