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Finding the Fourth Proportional to 7,143.52, 10,715.60 and 2,213.26

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Solution

The fourth proportional to 7,143.52, 10,715.60 and 2,213.26 is: 3,319.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,143.52 : 10,715.60 = 2,213.26 : x
  2. Step 2: Convert to fraction form
    7,143.52/10,715.60 = 2,213.26/x
  3. Step 3: Cross multiply
    7,143.52x = 10,715.60 × 2,213.26
  4. Step 4: Simplify right side
    7,143.52x = 23,716,408.86
  5. Step 5: Solve for x
    x = 23,716,408.86/7,143.52
  6. Step 6: Final answer
    x = 3,319.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.