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Finding the Fourth Proportional to 11,657.25, 17,501.11 and 6,922.05

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Solution

The fourth proportional to 11,657.25, 17,501.11 and 6,922.05 is: 10,392.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,657.25 : 17,501.11 = 6,922.05 : x
  2. Step 2: Convert to fraction form
    11,657.25/17,501.11 = 6,922.05/x
  3. Step 3: Cross multiply
    11,657.25x = 17,501.11 × 6,922.05
  4. Step 4: Simplify right side
    11,657.25x = 121,143,558.48
  5. Step 5: Solve for x
    x = 121,143,558.48/11,657.25
  6. Step 6: Final answer
    x = 10,392.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.