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Finding the Fourth Proportional to 10,194.68, 15,289.14 and 3,617.30

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Solution

The fourth proportional to 10,194.68, 15,289.14 and 3,617.30 is: 5,424.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,194.68 : 15,289.14 = 3,617.30 : x
  2. Step 2: Convert to fraction form
    10,194.68/15,289.14 = 3,617.30/x
  3. Step 3: Cross multiply
    10,194.68x = 15,289.14 × 3,617.30
  4. Step 4: Simplify right side
    10,194.68x = 55,305,406.12
  5. Step 5: Solve for x
    x = 55,305,406.12/10,194.68
  6. Step 6: Final answer
    x = 5,424.93

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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.