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Finding the Fourth Proportional to 10,420.53, 14,382.38 and 5,943.85

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Solution

The fourth proportional to 10,420.53, 14,382.38 and 5,943.85 is: 8,203.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,420.53 : 14,382.38 = 5,943.85 : x
  2. Step 2: Convert to fraction form
    10,420.53/14,382.38 = 5,943.85/x
  3. Step 3: Cross multiply
    10,420.53x = 14,382.38 × 5,943.85
  4. Step 4: Simplify right side
    10,420.53x = 85,486,709.36
  5. Step 5: Solve for x
    x = 85,486,709.36/10,420.53
  6. Step 6: Final answer
    x = 8,203.68

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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.