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Finding the Fourth Proportional to 6,765.80, 10,156 and 5,682.02

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Solution

The fourth proportional to 6,765.80, 10,156 and 5,682.02 is: 8,529.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,765.80 : 10,156 = 5,682.02 : x
  2. Step 2: Convert to fraction form
    6,765.80/10,156 = 5,682.02/x
  3. Step 3: Cross multiply
    6,765.80x = 10,156 × 5,682.02
  4. Step 4: Simplify right side
    6,765.80x = 57,706,595.12
  5. Step 5: Solve for x
    x = 57,706,595.12/6,765.80
  6. Step 6: Final answer
    x = 8,529.16

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Why These Related Problems?

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