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Finding the Fourth Proportional to 12,115.26, 16,712.09 and 7,570.06

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Solution

The fourth proportional to 12,115.26, 16,712.09 and 7,570.06 is: 10,442.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,115.26 : 16,712.09 = 7,570.06 : x
  2. Step 2: Convert to fraction form
    12,115.26/16,712.09 = 7,570.06/x
  3. Step 3: Cross multiply
    12,115.26x = 16,712.09 × 7,570.06
  4. Step 4: Simplify right side
    12,115.26x = 126,511,444.39
  5. Step 5: Solve for x
    x = 126,511,444.39/12,115.26
  6. Step 6: Final answer
    x = 10,442.32

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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.