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Finding the Fourth Proportional to 7,914.40, 10,918.44 and 4,768.80

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Solution

The fourth proportional to 7,914.40, 10,918.44 and 4,768.80 is: 6,578.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,914.40 : 10,918.44 = 4,768.80 : x
  2. Step 2: Convert to fraction form
    7,914.40/10,918.44 = 4,768.80/x
  3. Step 3: Cross multiply
    7,914.40x = 10,918.44 × 4,768.80
  4. Step 4: Simplify right side
    7,914.40x = 52,067,856.67
  5. Step 5: Solve for x
    x = 52,067,856.67/7,914.40
  6. Step 6: Final answer
    x = 6,578.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.