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Finding the Fourth Proportional to 7,233.74, 10,829.25 and 5,392.94

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Solution

The fourth proportional to 7,233.74, 10,829.25 and 5,392.94 is: 8,073.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,233.74 : 10,829.25 = 5,392.94 : x
  2. Step 2: Convert to fraction form
    7,233.74/10,829.25 = 5,392.94/x
  3. Step 3: Cross multiply
    7,233.74x = 10,829.25 × 5,392.94
  4. Step 4: Simplify right side
    7,233.74x = 58,401,495.50
  5. Step 5: Solve for x
    x = 58,401,495.50/7,233.74
  6. Step 6: Final answer
    x = 8,073.49

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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.