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Finding the Fourth Proportional to 7,529.66, 11,301.37 and 3,834.44

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Solution

The fourth proportional to 7,529.66, 11,301.37 and 3,834.44 is: 5,755.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,529.66 : 11,301.37 = 3,834.44 : x
  2. Step 2: Convert to fraction form
    7,529.66/11,301.37 = 3,834.44/x
  3. Step 3: Cross multiply
    7,529.66x = 11,301.37 × 3,834.44
  4. Step 4: Simplify right side
    7,529.66x = 43,334,423.04
  5. Step 5: Solve for x
    x = 43,334,423.04/7,529.66
  6. Step 6: Final answer
    x = 5,755.16

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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.