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Finding the Fourth Proportional to 10,106.99, 15,163.41 and 4,182.78

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Solution

The fourth proportional to 10,106.99, 15,163.41 and 4,182.78 is: 6,275.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,106.99 : 15,163.41 = 4,182.78 : x
  2. Step 2: Convert to fraction form
    10,106.99/15,163.41 = 4,182.78/x
  3. Step 3: Cross multiply
    10,106.99x = 15,163.41 × 4,182.78
  4. Step 4: Simplify right side
    10,106.99x = 63,425,205.02
  5. Step 5: Solve for x
    x = 63,425,205.02/10,106.99
  6. Step 6: Final answer
    x = 6,275.38

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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.