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Finding the Fourth Proportional to 8,851.28, 13,277.62 and 3,583.80

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Solution

The fourth proportional to 8,851.28, 13,277.62 and 3,583.80 is: 5,375.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,851.28 : 13,277.62 = 3,583.80 : x
  2. Step 2: Convert to fraction form
    8,851.28/13,277.62 = 3,583.80/x
  3. Step 3: Cross multiply
    8,851.28x = 13,277.62 × 3,583.80
  4. Step 4: Simplify right side
    8,851.28x = 47,584,325.60
  5. Step 5: Solve for x
    x = 47,584,325.60/8,851.28
  6. Step 6: Final answer
    x = 5,375.98

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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.