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Finding the Fourth Proportional to 7,224, 10,832.40 and 3,523.92

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Solution

The fourth proportional to 7,224, 10,832.40 and 3,523.92 is: 5,284.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,224 : 10,832.40 = 3,523.92 : x
  2. Step 2: Convert to fraction form
    7,224/10,832.40 = 3,523.92/x
  3. Step 3: Cross multiply
    7,224x = 10,832.40 × 3,523.92
  4. Step 4: Simplify right side
    7,224x = 38,172,511.01
  5. Step 5: Solve for x
    x = 38,172,511.01/7,224
  6. Step 6: Final answer
    x = 5,284.12

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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.