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Finding the Fourth Proportional to 10,588.12, 15,882.30 and 3,661

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Solution

The fourth proportional to 10,588.12, 15,882.30 and 3,661 is: 5,491.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,588.12 : 15,882.30 = 3,661 : x
  2. Step 2: Convert to fraction form
    10,588.12/15,882.30 = 3,661/x
  3. Step 3: Cross multiply
    10,588.12x = 15,882.30 × 3,661
  4. Step 4: Simplify right side
    10,588.12x = 58,145,100.30
  5. Step 5: Solve for x
    x = 58,145,100.30/10,588.12
  6. Step 6: Final answer
    x = 5,491.54

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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.