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Finding the Fourth Proportional to 10,778.70, 14,872.36 and 6,301.58

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Solution

The fourth proportional to 10,778.70, 14,872.36 and 6,301.58 is: 8,694.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,778.70 : 14,872.36 = 6,301.58 : x
  2. Step 2: Convert to fraction form
    10,778.70/14,872.36 = 6,301.58/x
  3. Step 3: Cross multiply
    10,778.70x = 14,872.36 × 6,301.58
  4. Step 4: Simplify right side
    10,778.70x = 93,719,371.69
  5. Step 5: Solve for x
    x = 93,719,371.69/10,778.70
  6. Step 6: Final answer
    x = 8,694.87

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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.