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Finding the Fourth Proportional to 7,408.75, 10,223.94 and 4,425.25

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Solution

The fourth proportional to 7,408.75, 10,223.94 and 4,425.25 is: 6,106.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,408.75 : 10,223.94 = 4,425.25 : x
  2. Step 2: Convert to fraction form
    7,408.75/10,223.94 = 4,425.25/x
  3. Step 3: Cross multiply
    7,408.75x = 10,223.94 × 4,425.25
  4. Step 4: Simplify right side
    7,408.75x = 45,243,490.49
  5. Step 5: Solve for x
    x = 45,243,490.49/7,408.75
  6. Step 6: Final answer
    x = 6,106.76

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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.