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Finding the Fourth Proportional to 7,586.73, 10,470.02 and 4,229.55

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Solution

The fourth proportional to 7,586.73, 10,470.02 and 4,229.55 is: 5,836.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,586.73 : 10,470.02 = 4,229.55 : x
  2. Step 2: Convert to fraction form
    7,586.73/10,470.02 = 4,229.55/x
  3. Step 3: Cross multiply
    7,586.73x = 10,470.02 × 4,229.55
  4. Step 4: Simplify right side
    7,586.73x = 44,283,473.09
  5. Step 5: Solve for x
    x = 44,283,473.09/7,586.73
  6. Step 6: Final answer
    x = 5,836.96

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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.