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Finding the Fourth Proportional to 11,801.86, 17,706.12 and 4,011.28

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Solution

The fourth proportional to 11,801.86, 17,706.12 and 4,011.28 is: 6,018.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,801.86 : 17,706.12 = 4,011.28 : x
  2. Step 2: Convert to fraction form
    11,801.86/17,706.12 = 4,011.28/x
  3. Step 3: Cross multiply
    11,801.86x = 17,706.12 × 4,011.28
  4. Step 4: Simplify right side
    11,801.86x = 71,024,205.03
  5. Step 5: Solve for x
    x = 71,024,205.03/11,801.86
  6. Step 6: Final answer
    x = 6,018.05

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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.