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Finding the Fourth Proportional to 11,704.26, 16,154.73 and 7,732.02

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Solution

The fourth proportional to 11,704.26, 16,154.73 and 7,732.02 is: 10,672.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,704.26 : 16,154.73 = 7,732.02 : x
  2. Step 2: Convert to fraction form
    11,704.26/16,154.73 = 7,732.02/x
  3. Step 3: Cross multiply
    11,704.26x = 16,154.73 × 7,732.02
  4. Step 4: Simplify right side
    11,704.26x = 124,908,695.45
  5. Step 5: Solve for x
    x = 124,908,695.45/11,704.26
  6. Step 6: Final answer
    x = 10,672.07

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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.