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Finding the Fourth Proportional to 6,780.84, 10,144.11 and 5,866.23

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Solution

The fourth proportional to 6,780.84, 10,144.11 and 5,866.23 is: 8,775.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,780.84 : 10,144.11 = 5,866.23 : x
  2. Step 2: Convert to fraction form
    6,780.84/10,144.11 = 5,866.23/x
  3. Step 3: Cross multiply
    6,780.84x = 10,144.11 × 5,866.23
  4. Step 4: Simplify right side
    6,780.84x = 59,507,682.41
  5. Step 5: Solve for x
    x = 59,507,682.41/6,780.84
  6. Step 6: Final answer
    x = 8,775.86

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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.