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Finding the Fourth Proportional to 10,253.94, 15,378.18 and 3,679.14

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Solution

The fourth proportional to 10,253.94, 15,378.18 and 3,679.14 is: 5,517.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,253.94 : 15,378.18 = 3,679.14 : x
  2. Step 2: Convert to fraction form
    10,253.94/15,378.18 = 3,679.14/x
  3. Step 3: Cross multiply
    10,253.94x = 15,378.18 × 3,679.14
  4. Step 4: Simplify right side
    10,253.94x = 56,578,477.17
  5. Step 5: Solve for x
    x = 56,578,477.17/10,253.94
  6. Step 6: Final answer
    x = 5,517.73

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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.