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Finding the Fourth Proportional to 10,189.94, 15,271.61 and 3,943.76

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Solution

The fourth proportional to 10,189.94, 15,271.61 and 3,943.76 is: 5,910.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,189.94 : 15,271.61 = 3,943.76 : x
  2. Step 2: Convert to fraction form
    10,189.94/15,271.61 = 3,943.76/x
  3. Step 3: Cross multiply
    10,189.94x = 15,271.61 × 3,943.76
  4. Step 4: Simplify right side
    10,189.94x = 60,227,468.58
  5. Step 5: Solve for x
    x = 60,227,468.58/10,189.94
  6. Step 6: Final answer
    x = 5,910.49

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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.