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Finding the Fourth Proportional to 6,851.28, 10,267.20 and 5,006.64

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Solution

The fourth proportional to 6,851.28, 10,267.20 and 5,006.64 is: 7,502.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,851.28 : 10,267.20 = 5,006.64 : x
  2. Step 2: Convert to fraction form
    6,851.28/10,267.20 = 5,006.64/x
  3. Step 3: Cross multiply
    6,851.28x = 10,267.20 × 5,006.64
  4. Step 4: Simplify right side
    6,851.28x = 51,404,174.21
  5. Step 5: Solve for x
    x = 51,404,174.21/6,851.28
  6. Step 6: Final answer
    x = 7,502.86

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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.