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Finding the Fourth Proportional to 11,704.62, 17,513.16 and 6,776.58

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Solution

The fourth proportional to 11,704.62, 17,513.16 and 6,776.58 is: 10,139.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,704.62 : 17,513.16 = 6,776.58 : x
  2. Step 2: Convert to fraction form
    11,704.62/17,513.16 = 6,776.58/x
  3. Step 3: Cross multiply
    11,704.62x = 17,513.16 × 6,776.58
  4. Step 4: Simplify right side
    11,704.62x = 118,679,329.79
  5. Step 5: Solve for x
    x = 118,679,329.79/11,704.62
  6. Step 6: Final answer
    x = 10,139.53

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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.