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Finding the Fourth Proportional to 7,586.99, 10,470.36 and 4,229.80

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Solution

The fourth proportional to 7,586.99, 10,470.36 and 4,229.80 is: 5,837.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,586.99 : 10,470.36 = 4,229.80 : x
  2. Step 2: Convert to fraction form
    7,586.99/10,470.36 = 4,229.80/x
  3. Step 3: Cross multiply
    7,586.99x = 10,470.36 × 4,229.80
  4. Step 4: Simplify right side
    7,586.99x = 44,287,528.73
  5. Step 5: Solve for x
    x = 44,287,528.73/7,586.99
  6. Step 6: Final answer
    x = 5,837.30

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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.