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Finding the Fourth Proportional to 7,408.76, 10,224.96 and 4,222.52

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Solution

The fourth proportional to 7,408.76, 10,224.96 and 4,222.52 is: 5,827.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,408.76 : 10,224.96 = 4,222.52 : x
  2. Step 2: Convert to fraction form
    7,408.76/10,224.96 = 4,222.52/x
  3. Step 3: Cross multiply
    7,408.76x = 10,224.96 × 4,222.52
  4. Step 4: Simplify right side
    7,408.76x = 43,175,098.10
  5. Step 5: Solve for x
    x = 43,175,098.10/7,408.76
  6. Step 6: Final answer
    x = 5,827.57

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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.