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Finding the Fourth Proportional to 7,586.93, 10,469.94 and 4,229.72

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Solution

The fourth proportional to 7,586.93, 10,469.94 and 4,229.72 is: 5,837.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,586.93 : 10,469.94 = 4,229.72 : x
  2. Step 2: Convert to fraction form
    7,586.93/10,469.94 = 4,229.72/x
  3. Step 3: Cross multiply
    7,586.93x = 10,469.94 × 4,229.72
  4. Step 4: Simplify right side
    7,586.93x = 44,284,914.62
  5. Step 5: Solve for x
    x = 44,284,914.62/7,586.93
  6. Step 6: Final answer
    x = 5,837.00

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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.