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Finding the Fourth Proportional to 10,827.84, 16,241.76 and 2,619.84

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Solution

The fourth proportional to 10,827.84, 16,241.76 and 2,619.84 is: 3,929.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,827.84 : 16,241.76 = 2,619.84 : x
  2. Step 2: Convert to fraction form
    10,827.84/16,241.76 = 2,619.84/x
  3. Step 3: Cross multiply
    10,827.84x = 16,241.76 × 2,619.84
  4. Step 4: Simplify right side
    10,827.84x = 42,550,812.52
  5. Step 5: Solve for x
    x = 42,550,812.52/10,827.84
  6. Step 6: Final answer
    x = 3,929.76

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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.