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Finding the Fourth Proportional to 11,616.11, 16,025.09 and 6,897.66

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Solution

The fourth proportional to 11,616.11, 16,025.09 and 6,897.66 is: 9,515.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,616.11 : 16,025.09 = 6,897.66 : x
  2. Step 2: Convert to fraction form
    11,616.11/16,025.09 = 6,897.66/x
  3. Step 3: Cross multiply
    11,616.11x = 16,025.09 × 6,897.66
  4. Step 4: Simplify right side
    11,616.11x = 110,535,566.51
  5. Step 5: Solve for x
    x = 110,535,566.51/11,616.11
  6. Step 6: Final answer
    x = 9,515.71

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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.