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Finding the Fourth Proportional to 11,013.48, 16,502.94 and 7,678.44

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Solution

The fourth proportional to 11,013.48, 16,502.94 and 7,678.44 is: 11,505.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,013.48 : 16,502.94 = 7,678.44 : x
  2. Step 2: Convert to fraction form
    11,013.48/16,502.94 = 7,678.44/x
  3. Step 3: Cross multiply
    11,013.48x = 16,502.94 × 7,678.44
  4. Step 4: Simplify right side
    11,013.48x = 126,716,834.61
  5. Step 5: Solve for x
    x = 126,716,834.61/11,013.48
  6. Step 6: Final answer
    x = 11,505.61

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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.