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Finding the Fourth Proportional to 13,110.50, 18,092.50 and 7,523.30

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Solution

The fourth proportional to 13,110.50, 18,092.50 and 7,523.30 is: 10,382.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,110.50 : 18,092.50 = 7,523.30 : x
  2. Step 2: Convert to fraction form
    13,110.50/18,092.50 = 7,523.30/x
  3. Step 3: Cross multiply
    13,110.50x = 18,092.50 × 7,523.30
  4. Step 4: Simplify right side
    13,110.50x = 136,115,305.25
  5. Step 5: Solve for x
    x = 136,115,305.25/13,110.50
  6. Step 6: Final answer
    x = 10,382.16

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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.