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Finding the Fourth Proportional to 10,768.24, 14,860.78 and 6,052.82

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Solution

The fourth proportional to 10,768.24, 14,860.78 and 6,052.82 is: 8,353.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,768.24 : 14,860.78 = 6,052.82 : x
  2. Step 2: Convert to fraction form
    10,768.24/14,860.78 = 6,052.82/x
  3. Step 3: Cross multiply
    10,768.24x = 14,860.78 × 6,052.82
  4. Step 4: Simplify right side
    10,768.24x = 89,949,626.40
  5. Step 5: Solve for x
    x = 89,949,626.40/10,768.24
  6. Step 6: Final answer
    x = 8,353.24

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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.