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Finding the Fourth Proportional to 11,571.38, 15,968.39 and 6,535.50

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Solution

The fourth proportional to 11,571.38, 15,968.39 and 6,535.50 is: 9,018.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,571.38 : 15,968.39 = 6,535.50 : x
  2. Step 2: Convert to fraction form
    11,571.38/15,968.39 = 6,535.50/x
  3. Step 3: Cross multiply
    11,571.38x = 15,968.39 × 6,535.50
  4. Step 4: Simplify right side
    11,571.38x = 104,361,380.17
  5. Step 5: Solve for x
    x = 104,361,380.17/11,571.38
  6. Step 6: Final answer
    x = 9,018.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.