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Finding the Fourth Proportional to 11,772.78, 16,246.38 and 6,395.10

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Solution

The fourth proportional to 11,772.78, 16,246.38 and 6,395.10 is: 8,825.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,772.78 : 16,246.38 = 6,395.10 : x
  2. Step 2: Convert to fraction form
    11,772.78/16,246.38 = 6,395.10/x
  3. Step 3: Cross multiply
    11,772.78x = 16,246.38 × 6,395.10
  4. Step 4: Simplify right side
    11,772.78x = 103,897,224.74
  5. Step 5: Solve for x
    x = 103,897,224.74/11,772.78
  6. Step 6: Final answer
    x = 8,825.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.