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Finding the Fourth Proportional to 8,857.50, 13,286.25 and 2,701.50

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Solution

The fourth proportional to 8,857.50, 13,286.25 and 2,701.50 is: 4,052.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,857.50 : 13,286.25 = 2,701.50 : x
  2. Step 2: Convert to fraction form
    8,857.50/13,286.25 = 2,701.50/x
  3. Step 3: Cross multiply
    8,857.50x = 13,286.25 × 2,701.50
  4. Step 4: Simplify right side
    8,857.50x = 35,892,804.38
  5. Step 5: Solve for x
    x = 35,892,804.38/8,857.50
  6. Step 6: Final answer
    x = 4,052.25

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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.