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Finding the Fourth Proportional to 10,589.04, 15,885 and 3,664.08

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Solution

The fourth proportional to 10,589.04, 15,885 and 3,664.08 is: 5,496.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,589.04 : 15,885 = 3,664.08 : x
  2. Step 2: Convert to fraction form
    10,589.04/15,885 = 3,664.08/x
  3. Step 3: Cross multiply
    10,589.04x = 15,885 × 3,664.08
  4. Step 4: Simplify right side
    10,589.04x = 58,203,910.80
  5. Step 5: Solve for x
    x = 58,203,910.80/10,589.04
  6. Step 6: Final answer
    x = 5,496.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.