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Finding the Fourth Proportional to 10,959, 16,438.59 and 3,167.88

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Solution

The fourth proportional to 10,959, 16,438.59 and 3,167.88 is: 4,751.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,959 : 16,438.59 = 3,167.88 : x
  2. Step 2: Convert to fraction form
    10,959/16,438.59 = 3,167.88/x
  3. Step 3: Cross multiply
    10,959x = 16,438.59 × 3,167.88
  4. Step 4: Simplify right side
    10,959x = 52,075,480.49
  5. Step 5: Solve for x
    x = 52,075,480.49/10,959
  6. Step 6: Final answer
    x = 4,751.85

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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.