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Finding the Fourth Proportional to 11,009.15, 16,508.32 and 7,678.99

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Solution

The fourth proportional to 11,009.15, 16,508.32 and 7,678.99 is: 11,514.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,009.15 : 16,508.32 = 7,678.99 : x
  2. Step 2: Convert to fraction form
    11,009.15/16,508.32 = 7,678.99/x
  3. Step 3: Cross multiply
    11,009.15x = 16,508.32 × 7,678.99
  4. Step 4: Simplify right side
    11,009.15x = 126,767,213.22
  5. Step 5: Solve for x
    x = 126,767,213.22/11,009.15
  6. Step 6: Final answer
    x = 11,514.71

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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.