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Finding the Fourth Proportional to 10,266.74, 14,168.07 and 5,551.02

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Solution

The fourth proportional to 10,266.74, 14,168.07 and 5,551.02 is: 7,660.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,266.74 : 14,168.07 = 5,551.02 : x
  2. Step 2: Convert to fraction form
    10,266.74/14,168.07 = 5,551.02/x
  3. Step 3: Cross multiply
    10,266.74x = 14,168.07 × 5,551.02
  4. Step 4: Simplify right side
    10,266.74x = 78,647,239.93
  5. Step 5: Solve for x
    x = 78,647,239.93/10,266.74
  6. Step 6: Final answer
    x = 7,660.39

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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.