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Finding the Fourth Proportional to 7,503.52, 11,251.84 and 2,571.88

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Solution

The fourth proportional to 7,503.52, 11,251.84 and 2,571.88 is: 3,856.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,503.52 : 11,251.84 = 2,571.88 : x
  2. Step 2: Convert to fraction form
    7,503.52/11,251.84 = 2,571.88/x
  3. Step 3: Cross multiply
    7,503.52x = 11,251.84 × 2,571.88
  4. Step 4: Simplify right side
    7,503.52x = 28,938,382.26
  5. Step 5: Solve for x
    x = 28,938,382.26/7,503.52
  6. Step 6: Final answer
    x = 3,856.64

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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.