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Finding the Fourth Proportional to 10,375.75, 15,571.77 and 4,536.46

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Solution

The fourth proportional to 10,375.75, 15,571.77 and 4,536.46 is: 6,808.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,375.75 : 15,571.77 = 4,536.46 : x
  2. Step 2: Convert to fraction form
    10,375.75/15,571.77 = 4,536.46/x
  3. Step 3: Cross multiply
    10,375.75x = 15,571.77 × 4,536.46
  4. Step 4: Simplify right side
    10,375.75x = 70,640,711.73
  5. Step 5: Solve for x
    x = 70,640,711.73/10,375.75
  6. Step 6: Final answer
    x = 6,808.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.