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Finding the Fourth Proportional to 11,732.66, 17,599.23 and 4,333.31

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Solution

The fourth proportional to 11,732.66, 17,599.23 and 4,333.31 is: 6,500.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,732.66 : 17,599.23 = 4,333.31 : x
  2. Step 2: Convert to fraction form
    11,732.66/17,599.23 = 4,333.31/x
  3. Step 3: Cross multiply
    11,732.66x = 17,599.23 × 4,333.31
  4. Step 4: Simplify right side
    11,732.66x = 76,262,919.35
  5. Step 5: Solve for x
    x = 76,262,919.35/11,732.66
  6. Step 6: Final answer
    x = 6,500.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.