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Finding the Fourth Proportional to 11,908.86, 16,434.24 and 7,192.26

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Solution

The fourth proportional to 11,908.86, 16,434.24 and 7,192.26 is: 9,925.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,908.86 : 16,434.24 = 7,192.26 : x
  2. Step 2: Convert to fraction form
    11,908.86/16,434.24 = 7,192.26/x
  3. Step 3: Cross multiply
    11,908.86x = 16,434.24 × 7,192.26
  4. Step 4: Simplify right side
    11,908.86x = 118,199,326.98
  5. Step 5: Solve for x
    x = 118,199,326.98/11,908.86
  6. Step 6: Final answer
    x = 9,925.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.