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Finding the Fourth Proportional to 11,701.88, 16,143.14 and 6,731

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Solution

The fourth proportional to 11,701.88, 16,143.14 and 6,731 is: 9,285.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,701.88 : 16,143.14 = 6,731 : x
  2. Step 2: Convert to fraction form
    11,701.88/16,143.14 = 6,731/x
  3. Step 3: Cross multiply
    11,701.88x = 16,143.14 × 6,731
  4. Step 4: Simplify right side
    11,701.88x = 108,659,475.34
  5. Step 5: Solve for x
    x = 108,659,475.34/11,701.88
  6. Step 6: Final answer
    x = 9,285.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.