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Finding the Fourth Proportional to 8,233.74, 12,350.34 and 2,390.22

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Solution

The fourth proportional to 8,233.74, 12,350.34 and 2,390.22 is: 3,585.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,233.74 : 12,350.34 = 2,390.22 : x
  2. Step 2: Convert to fraction form
    8,233.74/12,350.34 = 2,390.22/x
  3. Step 3: Cross multiply
    8,233.74x = 12,350.34 × 2,390.22
  4. Step 4: Simplify right side
    8,233.74x = 29,520,029.67
  5. Step 5: Solve for x
    x = 29,520,029.67/8,233.74
  6. Step 6: Final answer
    x = 3,585.25

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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.