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Finding the Fourth Proportional to 7,408.53, 10,223.79 and 4,221.69

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Solution

The fourth proportional to 7,408.53, 10,223.79 and 4,221.69 is: 5,825.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,408.53 : 10,223.79 = 4,221.69 : x
  2. Step 2: Convert to fraction form
    7,408.53/10,223.79 = 4,221.69/x
  3. Step 3: Cross multiply
    7,408.53x = 10,223.79 × 4,221.69
  4. Step 4: Simplify right side
    7,408.53x = 43,161,617.83
  5. Step 5: Solve for x
    x = 43,161,617.83/7,408.53
  6. Step 6: Final answer
    x = 5,825.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.