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Finding the Fourth Proportional to 10,869.42, 16,304.28 and 3,078.23

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Solution

The fourth proportional to 10,869.42, 16,304.28 and 3,078.23 is: 4,617.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,869.42 : 16,304.28 = 3,078.23 : x
  2. Step 2: Convert to fraction form
    10,869.42/16,304.28 = 3,078.23/x
  3. Step 3: Cross multiply
    10,869.42x = 16,304.28 × 3,078.23
  4. Step 4: Simplify right side
    10,869.42x = 50,188,242.30
  5. Step 5: Solve for x
    x = 50,188,242.30/10,869.42
  6. Step 6: Final answer
    x = 4,617.38

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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.