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Finding the Fourth Proportional to 11,901.12, 17,847.36 and 4,976.16

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Solution

The fourth proportional to 11,901.12, 17,847.36 and 4,976.16 is: 7,462.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,901.12 : 17,847.36 = 4,976.16 : x
  2. Step 2: Convert to fraction form
    11,901.12/17,847.36 = 4,976.16/x
  3. Step 3: Cross multiply
    11,901.12x = 17,847.36 × 4,976.16
  4. Step 4: Simplify right side
    11,901.12x = 88,811,318.94
  5. Step 5: Solve for x
    x = 88,811,318.94/11,901.12
  6. Step 6: Final answer
    x = 7,462.43

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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.