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Finding the Fourth Proportional to 10,830.81, 16,246.79 and 3,040.23

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Solution

The fourth proportional to 10,830.81, 16,246.79 and 3,040.23 is: 4,560.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,830.81 : 16,246.79 = 3,040.23 : x
  2. Step 2: Convert to fraction form
    10,830.81/16,246.79 = 3,040.23/x
  3. Step 3: Cross multiply
    10,830.81x = 16,246.79 × 3,040.23
  4. Step 4: Simplify right side
    10,830.81x = 49,394,052.59
  5. Step 5: Solve for x
    x = 49,394,052.59/10,830.81
  6. Step 6: Final answer
    x = 4,560.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.