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Finding the Fourth Proportional to 8,312.34, 12,473.37 and 3,380.97

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Solution

The fourth proportional to 8,312.34, 12,473.37 and 3,380.97 is: 5,073.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,312.34 : 12,473.37 = 3,380.97 : x
  2. Step 2: Convert to fraction form
    8,312.34/12,473.37 = 3,380.97/x
  3. Step 3: Cross multiply
    8,312.34x = 12,473.37 × 3,380.97
  4. Step 4: Simplify right side
    8,312.34x = 42,172,089.77
  5. Step 5: Solve for x
    x = 42,172,089.77/8,312.34
  6. Step 6: Final answer
    x = 5,073.43

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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.