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Finding the Fourth Proportional to 8,300.42, 12,448.66 and 2,377.12

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Solution

The fourth proportional to 8,300.42, 12,448.66 and 2,377.12 is: 3,565.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,300.42 : 12,448.66 = 2,377.12 : x
  2. Step 2: Convert to fraction form
    8,300.42/12,448.66 = 2,377.12/x
  3. Step 3: Cross multiply
    8,300.42x = 12,448.66 × 2,377.12
  4. Step 4: Simplify right side
    8,300.42x = 29,591,958.66
  5. Step 5: Solve for x
    x = 29,591,958.66/8,300.42
  6. Step 6: Final answer
    x = 3,565.12

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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.