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Finding the Fourth Proportional to 8,380.69, 12,572.65 and 3,186.16

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Solution

The fourth proportional to 8,380.69, 12,572.65 and 3,186.16 is: 4,779.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,380.69 : 12,572.65 = 3,186.16 : x
  2. Step 2: Convert to fraction form
    8,380.69/12,572.65 = 3,186.16/x
  3. Step 3: Cross multiply
    8,380.69x = 12,572.65 × 3,186.16
  4. Step 4: Simplify right side
    8,380.69x = 40,058,474.52
  5. Step 5: Solve for x
    x = 40,058,474.52/8,380.69
  6. Step 6: Final answer
    x = 4,779.85

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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.