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Finding the Fourth Proportional to 7,033.50, 10,551.27 and 2,352.12

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Solution

The fourth proportional to 7,033.50, 10,551.27 and 2,352.12 is: 3,528.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,033.50 : 10,551.27 = 2,352.12 : x
  2. Step 2: Convert to fraction form
    7,033.50/10,551.27 = 2,352.12/x
  3. Step 3: Cross multiply
    7,033.50x = 10,551.27 × 2,352.12
  4. Step 4: Simplify right side
    7,033.50x = 24,817,800.44
  5. Step 5: Solve for x
    x = 24,817,800.44/7,033.50
  6. Step 6: Final answer
    x = 3,528.51

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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.