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Finding the Fourth Proportional to 11,048.92, 16,580.67 and 5,207.20

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Solution

The fourth proportional to 11,048.92, 16,580.67 and 5,207.20 is: 7,814.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,048.92 : 16,580.67 = 5,207.20 : x
  2. Step 2: Convert to fraction form
    11,048.92/16,580.67 = 5,207.20/x
  3. Step 3: Cross multiply
    11,048.92x = 16,580.67 × 5,207.20
  4. Step 4: Simplify right side
    11,048.92x = 86,338,864.82
  5. Step 5: Solve for x
    x = 86,338,864.82/11,048.92
  6. Step 6: Final answer
    x = 7,814.24

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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.