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Finding the Fourth Proportional to 11,185.57, 15,436.27 and 6,150

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Solution

The fourth proportional to 11,185.57, 15,436.27 and 6,150 is: 8,487.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,185.57 : 15,436.27 = 6,150 : x
  2. Step 2: Convert to fraction form
    11,185.57/15,436.27 = 6,150/x
  3. Step 3: Cross multiply
    11,185.57x = 15,436.27 × 6,150
  4. Step 4: Simplify right side
    11,185.57x = 94,933,060.50
  5. Step 5: Solve for x
    x = 94,933,060.50/11,185.57
  6. Step 6: Final answer
    x = 8,487.10

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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.