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Finding the Fourth Proportional to 11,902.32, 17,847.36 and 6,981.66

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Solution

The fourth proportional to 11,902.32, 17,847.36 and 6,981.66 is: 10,468.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,902.32 : 17,847.36 = 6,981.66 : x
  2. Step 2: Convert to fraction form
    11,902.32/17,847.36 = 6,981.66/x
  3. Step 3: Cross multiply
    11,902.32x = 17,847.36 × 6,981.66
  4. Step 4: Simplify right side
    11,902.32x = 124,604,199.42
  5. Step 5: Solve for x
    x = 124,604,199.42/11,902.32
  6. Step 6: Final answer
    x = 10,468.90

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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.