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Finding the Fourth Proportional to 11,642.12, 16,061.38 and 7,164.52

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Solution

The fourth proportional to 11,642.12, 16,061.38 and 7,164.52 is: 9,884.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,642.12 : 16,061.38 = 7,164.52 : x
  2. Step 2: Convert to fraction form
    11,642.12/16,061.38 = 7,164.52/x
  3. Step 3: Cross multiply
    11,642.12x = 16,061.38 × 7,164.52
  4. Step 4: Simplify right side
    11,642.12x = 115,072,078.24
  5. Step 5: Solve for x
    x = 115,072,078.24/11,642.12
  6. Step 6: Final answer
    x = 9,884.12

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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.