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Finding the Fourth Proportional to 11,474.51, 17,189.83 and 7,758.50

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Solution

The fourth proportional to 11,474.51, 17,189.83 and 7,758.50 is: 11,622.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,474.51 : 17,189.83 = 7,758.50 : x
  2. Step 2: Convert to fraction form
    11,474.51/17,189.83 = 7,758.50/x
  3. Step 3: Cross multiply
    11,474.51x = 17,189.83 × 7,758.50
  4. Step 4: Simplify right side
    11,474.51x = 133,367,319.63
  5. Step 5: Solve for x
    x = 133,367,319.63/11,474.51
  6. Step 6: Final answer
    x = 11,622.92

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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.