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Finding the Fourth Proportional to 10,753.44, 14,839.20 and 6,039.24

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Solution

The fourth proportional to 10,753.44, 14,839.20 and 6,039.24 is: 8,333.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,753.44 : 14,839.20 = 6,039.24 : x
  2. Step 2: Convert to fraction form
    10,753.44/14,839.20 = 6,039.24/x
  3. Step 3: Cross multiply
    10,753.44x = 14,839.20 × 6,039.24
  4. Step 4: Simplify right side
    10,753.44x = 89,617,490.21
  5. Step 5: Solve for x
    x = 89,617,490.21/10,753.44
  6. Step 6: Final answer
    x = 8,333.84

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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.