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Finding the Fourth Proportional to 10,161.99, 14,021.94 and 6,184.38

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Solution

The fourth proportional to 10,161.99, 14,021.94 and 6,184.38 is: 8,533.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,161.99 : 14,021.94 = 6,184.38 : x
  2. Step 2: Convert to fraction form
    10,161.99/14,021.94 = 6,184.38/x
  3. Step 3: Cross multiply
    10,161.99x = 14,021.94 × 6,184.38
  4. Step 4: Simplify right side
    10,161.99x = 86,717,081.07
  5. Step 5: Solve for x
    x = 86,717,081.07/10,161.99
  6. Step 6: Final answer
    x = 8,533.47

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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.