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Finding the Fourth Proportional to 10,064.78, 13,891.36 and 6,428.48

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Solution

The fourth proportional to 10,064.78, 13,891.36 and 6,428.48 is: 8,872.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,064.78 : 13,891.36 = 6,428.48 : x
  2. Step 2: Convert to fraction form
    10,064.78/13,891.36 = 6,428.48/x
  3. Step 3: Cross multiply
    10,064.78x = 13,891.36 × 6,428.48
  4. Step 4: Simplify right side
    10,064.78x = 89,300,348.59
  5. Step 5: Solve for x
    x = 89,300,348.59/10,064.78
  6. Step 6: Final answer
    x = 8,872.56

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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.