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Finding the Fourth Proportional to 11,631.17, 17,444.14 and 3,311.00

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Solution

The fourth proportional to 11,631.17, 17,444.14 and 3,311.00 is: 4,965.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,631.17 : 17,444.14 = 3,311.00 : x
  2. Step 2: Convert to fraction form
    11,631.17/17,444.14 = 3,311.00/x
  3. Step 3: Cross multiply
    11,631.17x = 17,444.14 × 3,311.00
  4. Step 4: Simplify right side
    11,631.17x = 57,757,574.60
  5. Step 5: Solve for x
    x = 57,757,574.60/11,631.17
  6. Step 6: Final answer
    x = 4,965.76

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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.