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Finding the Fourth Proportional to 8,721.62, 12,029.73 and 5,736.50

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Solution

The fourth proportional to 8,721.62, 12,029.73 and 5,736.50 is: 7,912.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,721.62 : 12,029.73 = 5,736.50 : x
  2. Step 2: Convert to fraction form
    8,721.62/12,029.73 = 5,736.50/x
  3. Step 3: Cross multiply
    8,721.62x = 12,029.73 × 5,736.50
  4. Step 4: Simplify right side
    8,721.62x = 69,008,486.00
  5. Step 5: Solve for x
    x = 69,008,486.00/8,721.62
  6. Step 6: Final answer
    x = 7,912.35

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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.