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Finding the Fourth Proportional to 8,753.14, 13,134.71 and 3,205.75

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Solution

The fourth proportional to 8,753.14, 13,134.71 and 3,205.75 is: 4,810.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,753.14 : 13,134.71 = 3,205.75 : x
  2. Step 2: Convert to fraction form
    8,753.14/13,134.71 = 3,205.75/x
  3. Step 3: Cross multiply
    8,753.14x = 13,134.71 × 3,205.75
  4. Step 4: Simplify right side
    8,753.14x = 42,106,596.58
  5. Step 5: Solve for x
    x = 42,106,596.58/8,753.14
  6. Step 6: Final answer
    x = 4,810.46

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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.