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Finding the Fourth Proportional to 10,161.66, 14,015.22 and 6,803.40

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Solution

The fourth proportional to 10,161.66, 14,015.22 and 6,803.40 is: 9,383.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,161.66 : 14,015.22 = 6,803.40 : x
  2. Step 2: Convert to fraction form
    10,161.66/14,015.22 = 6,803.40/x
  3. Step 3: Cross multiply
    10,161.66x = 14,015.22 × 6,803.40
  4. Step 4: Simplify right side
    10,161.66x = 95,351,147.75
  5. Step 5: Solve for x
    x = 95,351,147.75/10,161.66
  6. Step 6: Final answer
    x = 9,383.42

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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.