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Finding the Fourth Proportional to 10,735.36, 14,821.62 and 8,750.60

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Solution

The fourth proportional to 10,735.36, 14,821.62 and 8,750.60 is: 12,081.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,735.36 : 14,821.62 = 8,750.60 : x
  2. Step 2: Convert to fraction form
    10,735.36/14,821.62 = 8,750.60/x
  3. Step 3: Cross multiply
    10,735.36x = 14,821.62 × 8,750.60
  4. Step 4: Simplify right side
    10,735.36x = 129,698,067.97
  5. Step 5: Solve for x
    x = 129,698,067.97/10,735.36
  6. Step 6: Final answer
    x = 12,081.39

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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.