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Finding the Fourth Proportional to 10,395.54, 14,344.20 and 5,919.38

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Solution

The fourth proportional to 10,395.54, 14,344.20 and 5,919.38 is: 8,167.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,395.54 : 14,344.20 = 5,919.38 : x
  2. Step 2: Convert to fraction form
    10,395.54/14,344.20 = 5,919.38/x
  3. Step 3: Cross multiply
    10,395.54x = 14,344.20 × 5,919.38
  4. Step 4: Simplify right side
    10,395.54x = 84,908,770.60
  5. Step 5: Solve for x
    x = 84,908,770.60/10,395.54
  6. Step 6: Final answer
    x = 8,167.81

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Why These Related Problems?

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