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Finding the Fourth Proportional to 11,116.98, 15,340.38 and 7,524.66

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Solution

The fourth proportional to 11,116.98, 15,340.38 and 7,524.66 is: 10,383.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,116.98 : 15,340.38 = 7,524.66 : x
  2. Step 2: Convert to fraction form
    11,116.98/15,340.38 = 7,524.66/x
  3. Step 3: Cross multiply
    11,116.98x = 15,340.38 × 7,524.66
  4. Step 4: Simplify right side
    11,116.98x = 115,431,143.77
  5. Step 5: Solve for x
    x = 115,431,143.77/11,116.98
  6. Step 6: Final answer
    x = 10,383.32

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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.