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Finding the Fourth Proportional to 8,102.34, 12,148.32 and 3,421.08

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Solution

The fourth proportional to 8,102.34, 12,148.32 and 3,421.08 is: 5,129.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,102.34 : 12,148.32 = 3,421.08 : x
  2. Step 2: Convert to fraction form
    8,102.34/12,148.32 = 3,421.08/x
  3. Step 3: Cross multiply
    8,102.34x = 12,148.32 × 3,421.08
  4. Step 4: Simplify right side
    8,102.34x = 41,560,374.59
  5. Step 5: Solve for x
    x = 41,560,374.59/8,102.34
  6. Step 6: Final answer
    x = 5,129.43

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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.