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Finding the Fourth Proportional to 7,586.06, 10,468.17 and 4,229.01

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Solution

The fourth proportional to 7,586.06, 10,468.17 and 4,229.01 is: 5,835.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,586.06 : 10,468.17 = 4,229.01 : x
  2. Step 2: Convert to fraction form
    7,586.06/10,468.17 = 4,229.01/x
  3. Step 3: Cross multiply
    7,586.06x = 10,468.17 × 4,229.01
  4. Step 4: Simplify right side
    7,586.06x = 44,269,995.61
  5. Step 5: Solve for x
    x = 44,269,995.61/7,586.06
  6. Step 6: Final answer
    x = 5,835.71

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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.