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Finding the Fourth Proportional to 7,410.74, 10,229.97 and 4,617.62

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Solution

The fourth proportional to 7,410.74, 10,229.97 and 4,617.62 is: 6,374.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,410.74 : 10,229.97 = 4,617.62 : x
  2. Step 2: Convert to fraction form
    7,410.74/10,229.97 = 4,617.62/x
  3. Step 3: Cross multiply
    7,410.74x = 10,229.97 × 4,617.62
  4. Step 4: Simplify right side
    7,410.74x = 47,238,114.07
  5. Step 5: Solve for x
    x = 47,238,114.07/7,410.74
  6. Step 6: Final answer
    x = 6,374.28

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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.