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Finding the Fourth Proportional to 7,677.13, 11,520.14 and 3,234.48

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Solution

The fourth proportional to 7,677.13, 11,520.14 and 3,234.48 is: 4,853.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,677.13 : 11,520.14 = 3,234.48 : x
  2. Step 2: Convert to fraction form
    7,677.13/11,520.14 = 3,234.48/x
  3. Step 3: Cross multiply
    7,677.13x = 11,520.14 × 3,234.48
  4. Step 4: Simplify right side
    7,677.13x = 37,261,672.40
  5. Step 5: Solve for x
    x = 37,261,672.40/7,677.13
  6. Step 6: Final answer
    x = 4,853.59

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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.