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Finding the Fourth Proportional to 11,799.66, 17,701.90 and 3,478.98

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Solution

The fourth proportional to 11,799.66, 17,701.90 and 3,478.98 is: 5,219.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,799.66 : 17,701.90 = 3,478.98 : x
  2. Step 2: Convert to fraction form
    11,799.66/17,701.90 = 3,478.98/x
  3. Step 3: Cross multiply
    11,799.66x = 17,701.90 × 3,478.98
  4. Step 4: Simplify right side
    11,799.66x = 61,584,556.06
  5. Step 5: Solve for x
    x = 61,584,556.06/11,799.66
  6. Step 6: Final answer
    x = 5,219.18

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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.