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Finding the Fourth Proportional to 8,314.67, 12,464.98 and 3,870.04

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Solution

The fourth proportional to 8,314.67, 12,464.98 and 3,870.04 is: 5,801.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,314.67 : 12,464.98 = 3,870.04 : x
  2. Step 2: Convert to fraction form
    8,314.67/12,464.98 = 3,870.04/x
  3. Step 3: Cross multiply
    8,314.67x = 12,464.98 × 3,870.04
  4. Step 4: Simplify right side
    8,314.67x = 48,239,971.20
  5. Step 5: Solve for x
    x = 48,239,971.20/8,314.67
  6. Step 6: Final answer
    x = 5,801.79

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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.