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Finding the Fourth Proportional to 8,339.34, 12,509.60 and 6,874.04

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Solution

The fourth proportional to 8,339.34, 12,509.60 and 6,874.04 is: 10,311.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,339.34 : 12,509.60 = 6,874.04 : x
  2. Step 2: Convert to fraction form
    8,339.34/12,509.60 = 6,874.04/x
  3. Step 3: Cross multiply
    8,339.34x = 12,509.60 × 6,874.04
  4. Step 4: Simplify right side
    8,339.34x = 85,991,490.78
  5. Step 5: Solve for x
    x = 85,991,490.78/8,339.34
  6. Step 6: Final answer
    x = 10,311.55

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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.