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Finding the Fourth Proportional to 11,610.63, 16,026.33 and 7,418.88

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Solution

The fourth proportional to 11,610.63, 16,026.33 and 7,418.88 is: 10,240.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,610.63 : 16,026.33 = 7,418.88 : x
  2. Step 2: Convert to fraction form
    11,610.63/16,026.33 = 7,418.88/x
  3. Step 3: Cross multiply
    11,610.63x = 16,026.33 × 7,418.88
  4. Step 4: Simplify right side
    11,610.63x = 118,897,419.11
  5. Step 5: Solve for x
    x = 118,897,419.11/11,610.63
  6. Step 6: Final answer
    x = 10,240.39

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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.