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Finding the Fourth Proportional to 11,566.83, 17,350.10 and 2,801.69

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Solution

The fourth proportional to 11,566.83, 17,350.10 and 2,801.69 is: 4,202.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,566.83 : 17,350.10 = 2,801.69 : x
  2. Step 2: Convert to fraction form
    11,566.83/17,350.10 = 2,801.69/x
  3. Step 3: Cross multiply
    11,566.83x = 17,350.10 × 2,801.69
  4. Step 4: Simplify right side
    11,566.83x = 48,609,576.48
  5. Step 5: Solve for x
    x = 48,609,576.48/11,566.83
  6. Step 6: Final answer
    x = 4,202.50

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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.