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Finding the Fourth Proportional to 11,825.32, 17,737.98 and 5,667.88

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Solution

The fourth proportional to 11,825.32, 17,737.98 and 5,667.88 is: 8,501.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,825.32 : 17,737.98 = 5,667.88 : x
  2. Step 2: Convert to fraction form
    11,825.32/17,737.98 = 5,667.88/x
  3. Step 3: Cross multiply
    11,825.32x = 17,737.98 × 5,667.88
  4. Step 4: Simplify right side
    11,825.32x = 100,536,742.08
  5. Step 5: Solve for x
    x = 100,536,742.08/11,825.32
  6. Step 6: Final answer
    x = 8,501.82

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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.