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Finding the Fourth Proportional to 7,928.92, 10,939.10 and 4,942.32

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Solution

The fourth proportional to 7,928.92, 10,939.10 and 4,942.32 is: 6,818.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,928.92 : 10,939.10 = 4,942.32 : x
  2. Step 2: Convert to fraction form
    7,928.92/10,939.10 = 4,942.32/x
  3. Step 3: Cross multiply
    7,928.92x = 10,939.10 × 4,942.32
  4. Step 4: Simplify right side
    7,928.92x = 54,064,532.71
  5. Step 5: Solve for x
    x = 54,064,532.71/7,928.92
  6. Step 6: Final answer
    x = 6,818.65

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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.