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Finding the Fourth Proportional to 10,119.84, 13,966.83 and 5,928.18

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Solution

The fourth proportional to 10,119.84, 13,966.83 and 5,928.18 is: 8,181.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,119.84 : 13,966.83 = 5,928.18 : x
  2. Step 2: Convert to fraction form
    10,119.84/13,966.83 = 5,928.18/x
  3. Step 3: Cross multiply
    10,119.84x = 13,966.83 × 5,928.18
  4. Step 4: Simplify right side
    10,119.84x = 82,797,882.27
  5. Step 5: Solve for x
    x = 82,797,882.27/10,119.84
  6. Step 6: Final answer
    x = 8,181.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.