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Finding the Fourth Proportional to 10,853.66, 16,285.56 and 3,839

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Solution

The fourth proportional to 10,853.66, 16,285.56 and 3,839 is: 5,760.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,853.66 : 16,285.56 = 3,839 : x
  2. Step 2: Convert to fraction form
    10,853.66/16,285.56 = 3,839/x
  3. Step 3: Cross multiply
    10,853.66x = 16,285.56 × 3,839
  4. Step 4: Simplify right side
    10,853.66x = 62,520,264.84
  5. Step 5: Solve for x
    x = 62,520,264.84/10,853.66
  6. Step 6: Final answer
    x = 5,760.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.