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Finding the Fourth Proportional to 10,869.66, 16,304.94 and 3,078.48

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Solution

The fourth proportional to 10,869.66, 16,304.94 and 3,078.48 is: 4,617.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,869.66 : 16,304.94 = 3,078.48 : x
  2. Step 2: Convert to fraction form
    10,869.66/16,304.94 = 3,078.48/x
  3. Step 3: Cross multiply
    10,869.66x = 16,304.94 × 3,078.48
  4. Step 4: Simplify right side
    10,869.66x = 50,194,431.69
  5. Step 5: Solve for x
    x = 50,194,431.69/10,869.66
  6. Step 6: Final answer
    x = 4,617.85

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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.