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Finding the Fourth Proportional to 7,252.50, 10,877.23 and 3,551

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Solution

The fourth proportional to 7,252.50, 10,877.23 and 3,551 is: 5,325.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,252.50 : 10,877.23 = 3,551 : x
  2. Step 2: Convert to fraction form
    7,252.50/10,877.23 = 3,551/x
  3. Step 3: Cross multiply
    7,252.50x = 10,877.23 × 3,551
  4. Step 4: Simplify right side
    7,252.50x = 38,625,025.98
  5. Step 5: Solve for x
    x = 38,625,025.98/7,252.50
  6. Step 6: Final answer
    x = 5,325.75

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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.