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Finding the Fourth Proportional to 8,444.34, 12,675.42 and 6,902.10

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Solution

The fourth proportional to 8,444.34, 12,675.42 and 6,902.10 is: 10,360.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,444.34 : 12,675.42 = 6,902.10 : x
  2. Step 2: Convert to fraction form
    8,444.34/12,675.42 = 6,902.10/x
  3. Step 3: Cross multiply
    8,444.34x = 12,675.42 × 6,902.10
  4. Step 4: Simplify right side
    8,444.34x = 87,487,016.38
  5. Step 5: Solve for x
    x = 87,487,016.38/8,444.34
  6. Step 6: Final answer
    x = 10,360.43

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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.