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Finding the Fourth Proportional to 10,757.84, 14,843.95 and 5,977.02

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Solution

The fourth proportional to 10,757.84, 14,843.95 and 5,977.02 is: 8,247.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,757.84 : 14,843.95 = 5,977.02 : x
  2. Step 2: Convert to fraction form
    10,757.84/14,843.95 = 5,977.02/x
  3. Step 3: Cross multiply
    10,757.84x = 14,843.95 × 5,977.02
  4. Step 4: Simplify right side
    10,757.84x = 88,722,586.03
  5. Step 5: Solve for x
    x = 88,722,586.03/10,757.84
  6. Step 6: Final answer
    x = 8,247.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.