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Finding the Fourth Proportional to 10,481.66, 14,464.97 and 5,766.06

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Solution

The fourth proportional to 10,481.66, 14,464.97 and 5,766.06 is: 7,957.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,481.66 : 14,464.97 = 5,766.06 : x
  2. Step 2: Convert to fraction form
    10,481.66/14,464.97 = 5,766.06/x
  3. Step 3: Cross multiply
    10,481.66x = 14,464.97 × 5,766.06
  4. Step 4: Simplify right side
    10,481.66x = 83,405,856.09
  5. Step 5: Solve for x
    x = 83,405,856.09/10,481.66
  6. Step 6: Final answer
    x = 7,957.32

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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.