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Finding the Fourth Proportional to 8,233.63, 12,349.18 and 2,686.96

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Solution

The fourth proportional to 8,233.63, 12,349.18 and 2,686.96 is: 4,030.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,233.63 : 12,349.18 = 2,686.96 : x
  2. Step 2: Convert to fraction form
    8,233.63/12,349.18 = 2,686.96/x
  3. Step 3: Cross multiply
    8,233.63x = 12,349.18 × 2,686.96
  4. Step 4: Simplify right side
    8,233.63x = 33,181,752.69
  5. Step 5: Solve for x
    x = 33,181,752.69/8,233.63
  6. Step 6: Final answer
    x = 4,030.03

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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.