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Finding the Fourth Proportional to 11,758.50, 17,637.75 and 3,550.50

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Solution

The fourth proportional to 11,758.50, 17,637.75 and 3,550.50 is: 5,325.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,758.50 : 17,637.75 = 3,550.50 : x
  2. Step 2: Convert to fraction form
    11,758.50/17,637.75 = 3,550.50/x
  3. Step 3: Cross multiply
    11,758.50x = 17,637.75 × 3,550.50
  4. Step 4: Simplify right side
    11,758.50x = 62,622,831.38
  5. Step 5: Solve for x
    x = 62,622,831.38/11,758.50
  6. Step 6: Final answer
    x = 5,325.75

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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.