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Finding the Fourth Proportional to 7,224.53, 10,829.34 and 3,522.17

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Solution

The fourth proportional to 7,224.53, 10,829.34 and 3,522.17 is: 5,279.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,224.53 : 10,829.34 = 3,522.17 : x
  2. Step 2: Convert to fraction form
    7,224.53/10,829.34 = 3,522.17/x
  3. Step 3: Cross multiply
    7,224.53x = 10,829.34 × 3,522.17
  4. Step 4: Simplify right side
    7,224.53x = 38,142,803.54
  5. Step 5: Solve for x
    x = 38,142,803.54/7,224.53
  6. Step 6: Final answer
    x = 5,279.63

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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.