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Finding the Fourth Proportional to 11,647.71, 16,073.96 and 6,678.75

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Solution

The fourth proportional to 11,647.71, 16,073.96 and 6,678.75 is: 9,216.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,647.71 : 16,073.96 = 6,678.75 : x
  2. Step 2: Convert to fraction form
    11,647.71/16,073.96 = 6,678.75/x
  3. Step 3: Cross multiply
    11,647.71x = 16,073.96 × 6,678.75
  4. Step 4: Simplify right side
    11,647.71x = 107,353,926.96
  5. Step 5: Solve for x
    x = 107,353,926.96/11,647.71
  6. Step 6: Final answer
    x = 9,216.74

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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.