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Finding the Fourth Proportional to 7,408.79, 10,223.80 and 4,222.78

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Solution

The fourth proportional to 7,408.79, 10,223.80 and 4,222.78 is: 5,827.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,408.79 : 10,223.80 = 4,222.78 : x
  2. Step 2: Convert to fraction form
    7,408.79/10,223.80 = 4,222.78/x
  3. Step 3: Cross multiply
    7,408.79x = 10,223.80 × 4,222.78
  4. Step 4: Simplify right side
    7,408.79x = 43,172,835.66
  5. Step 5: Solve for x
    x = 43,172,835.66/7,408.79
  6. Step 6: Final answer
    x = 5,827.25

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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.