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Finding the Fourth Proportional to 10,137.88, 15,213.63 and 3,564.10

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Solution

The fourth proportional to 10,137.88, 15,213.63 and 3,564.10 is: 5,348.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,137.88 : 15,213.63 = 3,564.10 : x
  2. Step 2: Convert to fraction form
    10,137.88/15,213.63 = 3,564.10/x
  3. Step 3: Cross multiply
    10,137.88x = 15,213.63 × 3,564.10
  4. Step 4: Simplify right side
    10,137.88x = 54,222,898.68
  5. Step 5: Solve for x
    x = 54,222,898.68/10,137.88
  6. Step 6: Final answer
    x = 5,348.54

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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.