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Finding the Fourth Proportional to 11,596.64, 16,001.89 and 6,561.14

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Solution

The fourth proportional to 11,596.64, 16,001.89 and 6,561.14 is: 9,053.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,596.64 : 16,001.89 = 6,561.14 : x
  2. Step 2: Convert to fraction form
    11,596.64/16,001.89 = 6,561.14/x
  3. Step 3: Cross multiply
    11,596.64x = 16,001.89 × 6,561.14
  4. Step 4: Simplify right side
    11,596.64x = 104,990,544.14
  5. Step 5: Solve for x
    x = 104,990,544.14/11,596.64
  6. Step 6: Final answer
    x = 9,053.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.