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Finding the Fourth Proportional to 11,658.51, 16,102.11 and 7,697.31

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Solution

The fourth proportional to 11,658.51, 16,102.11 and 7,697.31 is: 10,631.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,658.51 : 16,102.11 = 7,697.31 : x
  2. Step 2: Convert to fraction form
    11,658.51/16,102.11 = 7,697.31/x
  3. Step 3: Cross multiply
    11,658.51x = 16,102.11 × 7,697.31
  4. Step 4: Simplify right side
    11,658.51x = 123,942,932.32
  5. Step 5: Solve for x
    x = 123,942,932.32/11,658.51
  6. Step 6: Final answer
    x = 10,631.11

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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.