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Finding the Fourth Proportional to 7,931.28, 10,942.36 and 4,742.36

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Solution

The fourth proportional to 7,931.28, 10,942.36 and 4,742.36 is: 6,542.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,931.28 : 10,942.36 = 4,742.36 : x
  2. Step 2: Convert to fraction form
    7,931.28/10,942.36 = 4,742.36/x
  3. Step 3: Cross multiply
    7,931.28x = 10,942.36 × 4,742.36
  4. Step 4: Simplify right side
    7,931.28x = 51,892,610.37
  5. Step 5: Solve for x
    x = 51,892,610.37/7,931.28
  6. Step 6: Final answer
    x = 6,542.78

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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.