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Finding the Fourth Proportional to 10,481.97, 14,465.14 and 5,766.25

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Solution

The fourth proportional to 10,481.97, 14,465.14 and 5,766.25 is: 7,957.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,481.97 : 14,465.14 = 5,766.25 : x
  2. Step 2: Convert to fraction form
    10,481.97/14,465.14 = 5,766.25/x
  3. Step 3: Cross multiply
    10,481.97x = 14,465.14 × 5,766.25
  4. Step 4: Simplify right side
    10,481.97x = 83,409,613.53
  5. Step 5: Solve for x
    x = 83,409,613.53/10,481.97
  6. Step 6: Final answer
    x = 7,957.44

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