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Finding the Fourth Proportional to 10,411.38, 14,365.44 and 5,933.88

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Solution

The fourth proportional to 10,411.38, 14,365.44 and 5,933.88 is: 8,187.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,411.38 : 14,365.44 = 5,933.88 : x
  2. Step 2: Convert to fraction form
    10,411.38/14,365.44 = 5,933.88/x
  3. Step 3: Cross multiply
    10,411.38x = 14,365.44 × 5,933.88
  4. Step 4: Simplify right side
    10,411.38x = 85,242,797.11
  5. Step 5: Solve for x
    x = 85,242,797.11/10,411.38
  6. Step 6: Final answer
    x = 8,187.46

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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.