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Finding the Fourth Proportional to 7,563.87, 11,344.52 and 2,017.80

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Solution

The fourth proportional to 7,563.87, 11,344.52 and 2,017.80 is: 3,026.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,563.87 : 11,344.52 = 2,017.80 : x
  2. Step 2: Convert to fraction form
    7,563.87/11,344.52 = 2,017.80/x
  3. Step 3: Cross multiply
    7,563.87x = 11,344.52 × 2,017.80
  4. Step 4: Simplify right side
    7,563.87x = 22,890,977.50
  5. Step 5: Solve for x
    x = 22,890,977.50/7,563.87
  6. Step 6: Final answer
    x = 3,026.36

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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.