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Finding the Fourth Proportional to 11,661.51, 17,488.22 and 3,868.50

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Solution

The fourth proportional to 11,661.51, 17,488.22 and 3,868.50 is: 5,801.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,661.51 : 17,488.22 = 3,868.50 : x
  2. Step 2: Convert to fraction form
    11,661.51/17,488.22 = 3,868.50/x
  3. Step 3: Cross multiply
    11,661.51x = 17,488.22 × 3,868.50
  4. Step 4: Simplify right side
    11,661.51x = 67,653,159.73
  5. Step 5: Solve for x
    x = 67,653,159.73/11,661.51
  6. Step 6: Final answer
    x = 5,801.41

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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.