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Finding the Fourth Proportional to 11,647.62, 16,073.78 and 6,932.07

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Solution

The fourth proportional to 11,647.62, 16,073.78 and 6,932.07 is: 9,566.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,647.62 : 16,073.78 = 6,932.07 : x
  2. Step 2: Convert to fraction form
    11,647.62/16,073.78 = 6,932.07/x
  3. Step 3: Cross multiply
    11,647.62x = 16,073.78 × 6,932.07
  4. Step 4: Simplify right side
    11,647.62x = 111,424,533.46
  5. Step 5: Solve for x
    x = 111,424,533.46/11,647.62
  6. Step 6: Final answer
    x = 9,566.29

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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.