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Finding the Fourth Proportional to 7,839.20, 11,759.76 and 3,457.76

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Solution

The fourth proportional to 7,839.20, 11,759.76 and 3,457.76 is: 5,187.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,839.20 : 11,759.76 = 3,457.76 : x
  2. Step 2: Convert to fraction form
    7,839.20/11,759.76 = 3,457.76/x
  3. Step 3: Cross multiply
    7,839.20x = 11,759.76 × 3,457.76
  4. Step 4: Simplify right side
    7,839.20x = 40,662,427.74
  5. Step 5: Solve for x
    x = 40,662,427.74/7,839.20
  6. Step 6: Final answer
    x = 5,187.06

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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.