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Finding the Fourth Proportional to 11,990.51, 16,546.53 and 6,539.38

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Solution

The fourth proportional to 11,990.51, 16,546.53 and 6,539.38 is: 9,024.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,990.51 : 16,546.53 = 6,539.38 : x
  2. Step 2: Convert to fraction form
    11,990.51/16,546.53 = 6,539.38/x
  3. Step 3: Cross multiply
    11,990.51x = 16,546.53 × 6,539.38
  4. Step 4: Simplify right side
    11,990.51x = 108,204,023.47
  5. Step 5: Solve for x
    x = 108,204,023.47/11,990.51
  6. Step 6: Final answer
    x = 9,024.14

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Why These Related Problems?

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