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Finding the Fourth Proportional to 8,321.12, 12,474.38 and 3,130.64

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Solution

The fourth proportional to 8,321.12, 12,474.38 and 3,130.64 is: 4,693.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,321.12 : 12,474.38 = 3,130.64 : x
  2. Step 2: Convert to fraction form
    8,321.12/12,474.38 = 3,130.64/x
  3. Step 3: Cross multiply
    8,321.12x = 12,474.38 × 3,130.64
  4. Step 4: Simplify right side
    8,321.12x = 39,052,793.00
  5. Step 5: Solve for x
    x = 39,052,793.00/8,321.12
  6. Step 6: Final answer
    x = 4,693.21

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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.