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Finding the Fourth Proportional to 10,641.78, 14,687.28 and 6,395.22

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Solution

The fourth proportional to 10,641.78, 14,687.28 and 6,395.22 is: 8,826.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,641.78 : 14,687.28 = 6,395.22 : x
  2. Step 2: Convert to fraction form
    10,641.78/14,687.28 = 6,395.22/x
  3. Step 3: Cross multiply
    10,641.78x = 14,687.28 × 6,395.22
  4. Step 4: Simplify right side
    10,641.78x = 93,928,386.80
  5. Step 5: Solve for x
    x = 93,928,386.80/10,641.78
  6. Step 6: Final answer
    x = 8,826.38

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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.