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Finding the Fourth Proportional to 7,737.40, 11,609.70 and 4,043.80

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Solution

The fourth proportional to 7,737.40, 11,609.70 and 4,043.80 is: 6,067.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,737.40 : 11,609.70 = 4,043.80 : x
  2. Step 2: Convert to fraction form
    7,737.40/11,609.70 = 4,043.80/x
  3. Step 3: Cross multiply
    7,737.40x = 11,609.70 × 4,043.80
  4. Step 4: Simplify right side
    7,737.40x = 46,947,304.86
  5. Step 5: Solve for x
    x = 46,947,304.86/7,737.40
  6. Step 6: Final answer
    x = 6,067.58

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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.