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Finding the Fourth Proportional to 8,739.84, 12,057.60 and 5,429.76

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Solution

The fourth proportional to 8,739.84, 12,057.60 and 5,429.76 is: 7,490.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,739.84 : 12,057.60 = 5,429.76 : x
  2. Step 2: Convert to fraction form
    8,739.84/12,057.60 = 5,429.76/x
  3. Step 3: Cross multiply
    8,739.84x = 12,057.60 × 5,429.76
  4. Step 4: Simplify right side
    8,739.84x = 65,469,874.18
  5. Step 5: Solve for x
    x = 65,469,874.18/8,739.84
  6. Step 6: Final answer
    x = 7,490.97

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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.