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Finding the Fourth Proportional to 11,461.73, 15,817.19 and 6,425.94

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Solution

The fourth proportional to 11,461.73, 15,817.19 and 6,425.94 is: 8,867.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,461.73 : 15,817.19 = 6,425.94 : x
  2. Step 2: Convert to fraction form
    11,461.73/15,817.19 = 6,425.94/x
  3. Step 3: Cross multiply
    11,461.73x = 15,817.19 × 6,425.94
  4. Step 4: Simplify right side
    11,461.73x = 101,640,281.78
  5. Step 5: Solve for x
    x = 101,640,281.78/11,461.73
  6. Step 6: Final answer
    x = 8,867.79

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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.