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Finding the Fourth Proportional to 11,697.06, 16,142.16 and 6,392.22

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Solution

The fourth proportional to 11,697.06, 16,142.16 and 6,392.22 is: 8,821.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,697.06 : 16,142.16 = 6,392.22 : x
  2. Step 2: Convert to fraction form
    11,697.06/16,142.16 = 6,392.22/x
  3. Step 3: Cross multiply
    11,697.06x = 16,142.16 × 6,392.22
  4. Step 4: Simplify right side
    11,697.06x = 103,184,238.00
  5. Step 5: Solve for x
    x = 103,184,238.00/11,697.06
  6. Step 6: Final answer
    x = 8,821.38

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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.