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Finding the Fourth Proportional to 10,481.40, 14,463.97 and 6,004.53

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Solution

The fourth proportional to 10,481.40, 14,463.97 and 6,004.53 is: 8,286.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,481.40 : 14,463.97 = 6,004.53 : x
  2. Step 2: Convert to fraction form
    10,481.40/14,463.97 = 6,004.53/x
  3. Step 3: Cross multiply
    10,481.40x = 14,463.97 × 6,004.53
  4. Step 4: Simplify right side
    10,481.40x = 86,849,326.77
  5. Step 5: Solve for x
    x = 86,849,326.77/10,481.40
  6. Step 6: Final answer
    x = 8,286.04

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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.