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Finding the Fourth Proportional to 11,549, 17,329.28 and 4,155.12

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Solution

The fourth proportional to 11,549, 17,329.28 and 4,155.12 is: 6,234.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,549 : 17,329.28 = 4,155.12 : x
  2. Step 2: Convert to fraction form
    11,549/17,329.28 = 4,155.12/x
  3. Step 3: Cross multiply
    11,549x = 17,329.28 × 4,155.12
  4. Step 4: Simplify right side
    11,549x = 72,005,237.91
  5. Step 5: Solve for x
    x = 72,005,237.91/11,549
  6. Step 6: Final answer
    x = 6,234.76

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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.