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Finding the Fourth Proportional to 6,759.40, 10,139.64 and 2,377.84

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Solution

The fourth proportional to 6,759.40, 10,139.64 and 2,377.84 is: 3,566.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,759.40 : 10,139.64 = 2,377.84 : x
  2. Step 2: Convert to fraction form
    6,759.40/10,139.64 = 2,377.84/x
  3. Step 3: Cross multiply
    6,759.40x = 10,139.64 × 2,377.84
  4. Step 4: Simplify right side
    6,759.40x = 24,110,441.58
  5. Step 5: Solve for x
    x = 24,110,441.58/6,759.40
  6. Step 6: Final answer
    x = 3,566.95

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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.