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Finding the Fourth Proportional to 7,928.55, 10,942.02 and 4,944.78

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Solution

The fourth proportional to 7,928.55, 10,942.02 and 4,944.78 is: 6,824.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,928.55 : 10,942.02 = 4,944.78 : x
  2. Step 2: Convert to fraction form
    7,928.55/10,942.02 = 4,944.78/x
  3. Step 3: Cross multiply
    7,928.55x = 10,942.02 × 4,944.78
  4. Step 4: Simplify right side
    7,928.55x = 54,105,881.66
  5. Step 5: Solve for x
    x = 54,105,881.66/7,928.55
  6. Step 6: Final answer
    x = 6,824.18

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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.