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Finding the Fourth Proportional to 11,782.72, 17,669.92 and 5,545.64

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Solution

The fourth proportional to 11,782.72, 17,669.92 and 5,545.64 is: 8,316.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,782.72 : 17,669.92 = 5,545.64 : x
  2. Step 2: Convert to fraction form
    11,782.72/17,669.92 = 5,545.64/x
  3. Step 3: Cross multiply
    11,782.72x = 17,669.92 × 5,545.64
  4. Step 4: Simplify right side
    11,782.72x = 97,991,015.15
  5. Step 5: Solve for x
    x = 97,991,015.15/11,782.72
  6. Step 6: Final answer
    x = 8,316.50

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Why These Related Problems?

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