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Finding the Fourth Proportional to 7,458.02, 10,286.22 and 4,623.80

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Solution

The fourth proportional to 7,458.02, 10,286.22 and 4,623.80 is: 6,377.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,458.02 : 10,286.22 = 4,623.80 : x
  2. Step 2: Convert to fraction form
    7,458.02/10,286.22 = 4,623.80/x
  3. Step 3: Cross multiply
    7,458.02x = 10,286.22 × 4,623.80
  4. Step 4: Simplify right side
    7,458.02x = 47,561,372.60
  5. Step 5: Solve for x
    x = 47,561,372.60/7,458.02
  6. Step 6: Final answer
    x = 6,377.22

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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.