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Finding the Fourth Proportional to 8,905.25, 12,294.84 and 5,719.84

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Solution

The fourth proportional to 8,905.25, 12,294.84 and 5,719.84 is: 7,896.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,905.25 : 12,294.84 = 5,719.84 : x
  2. Step 2: Convert to fraction form
    8,905.25/12,294.84 = 5,719.84/x
  3. Step 3: Cross multiply
    8,905.25x = 12,294.84 × 5,719.84
  4. Step 4: Simplify right side
    8,905.25x = 70,324,508.34
  5. Step 5: Solve for x
    x = 70,324,508.34/8,905.25
  6. Step 6: Final answer
    x = 7,896.97

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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.