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Finding the Fourth Proportional to 11,610.13, 16,025.64 and 7,418.38

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Solution

The fourth proportional to 11,610.13, 16,025.64 and 7,418.38 is: 10,239.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,610.13 : 16,025.64 = 7,418.38 : x
  2. Step 2: Convert to fraction form
    11,610.13/16,025.64 = 7,418.38/x
  3. Step 3: Cross multiply
    11,610.13x = 16,025.64 × 7,418.38
  4. Step 4: Simplify right side
    11,610.13x = 118,884,287.26
  5. Step 5: Solve for x
    x = 118,884,287.26/11,610.13
  6. Step 6: Final answer
    x = 10,239.70

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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.