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Finding the Fourth Proportional to 11,823.62, 17,737.95 and 4,037.54

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Solution

The fourth proportional to 11,823.62, 17,737.95 and 4,037.54 is: 6,057.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,823.62 : 17,737.95 = 4,037.54 : x
  2. Step 2: Convert to fraction form
    11,823.62/17,737.95 = 4,037.54/x
  3. Step 3: Cross multiply
    11,823.62x = 17,737.95 × 4,037.54
  4. Step 4: Simplify right side
    11,823.62x = 71,617,682.64
  5. Step 5: Solve for x
    x = 71,617,682.64/11,823.62
  6. Step 6: Final answer
    x = 6,057.17

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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.