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Finding the Fourth Proportional to 8,233.45, 12,349.74 and 2,310.75

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Solution

The fourth proportional to 8,233.45, 12,349.74 and 2,310.75 is: 3,466.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,233.45 : 12,349.74 = 2,310.75 : x
  2. Step 2: Convert to fraction form
    8,233.45/12,349.74 = 2,310.75/x
  3. Step 3: Cross multiply
    8,233.45x = 12,349.74 × 2,310.75
  4. Step 4: Simplify right side
    8,233.45x = 28,537,161.71
  5. Step 5: Solve for x
    x = 28,537,161.71/8,233.45
  6. Step 6: Final answer
    x = 3,466.00

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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.