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Finding the Fourth Proportional to 11,732.95, 17,597.95 and 3,834.80

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Solution

The fourth proportional to 11,732.95, 17,597.95 and 3,834.80 is: 5,751.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,732.95 : 17,597.95 = 3,834.80 : x
  2. Step 2: Convert to fraction form
    11,732.95/17,597.95 = 3,834.80/x
  3. Step 3: Cross multiply
    11,732.95x = 17,597.95 × 3,834.80
  4. Step 4: Simplify right side
    11,732.95x = 67,484,655.44
  5. Step 5: Solve for x
    x = 67,484,655.44/11,732.95
  6. Step 6: Final answer
    x = 5,751.72

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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.