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Finding the Fourth Proportional to 7,589.48, 10,474.17 and 4,606.07

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Solution

The fourth proportional to 7,589.48, 10,474.17 and 4,606.07 is: 6,356.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,589.48 : 10,474.17 = 4,606.07 : x
  2. Step 2: Convert to fraction form
    7,589.48/10,474.17 = 4,606.07/x
  3. Step 3: Cross multiply
    7,589.48x = 10,474.17 × 4,606.07
  4. Step 4: Simplify right side
    7,589.48x = 48,244,760.21
  5. Step 5: Solve for x
    x = 48,244,760.21/7,589.48
  6. Step 6: Final answer
    x = 6,356.79

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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.