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Finding the Fourth Proportional to 11,162.88, 16,744.32 and 6,543.36

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Solution

The fourth proportional to 11,162.88, 16,744.32 and 6,543.36 is: 9,815.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,162.88 : 16,744.32 = 6,543.36 : x
  2. Step 2: Convert to fraction form
    11,162.88/16,744.32 = 6,543.36/x
  3. Step 3: Cross multiply
    11,162.88x = 16,744.32 × 6,543.36
  4. Step 4: Simplify right side
    11,162.88x = 109,564,113.72
  5. Step 5: Solve for x
    x = 109,564,113.72/11,162.88
  6. Step 6: Final answer
    x = 9,815.04

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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.