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Finding the Fourth Proportional to 10,767.74, 16,148.66 and 6,813.06

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Solution

The fourth proportional to 10,767.74, 16,148.66 and 6,813.06 is: 10,217.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,767.74 : 16,148.66 = 6,813.06 : x
  2. Step 2: Convert to fraction form
    10,767.74/16,148.66 = 6,813.06/x
  3. Step 3: Cross multiply
    10,767.74x = 16,148.66 × 6,813.06
  4. Step 4: Simplify right side
    10,767.74x = 110,021,789.50
  5. Step 5: Solve for x
    x = 110,021,789.50/10,767.74
  6. Step 6: Final answer
    x = 10,217.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.