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Finding the Fourth Proportional to 11,849.14, 16,351.05 and 6,543.64

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Solution

The fourth proportional to 11,849.14, 16,351.05 and 6,543.64 is: 9,029.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,849.14 : 16,351.05 = 6,543.64 : x
  2. Step 2: Convert to fraction form
    11,849.14/16,351.05 = 6,543.64/x
  3. Step 3: Cross multiply
    11,849.14x = 16,351.05 × 6,543.64
  4. Step 4: Simplify right side
    11,849.14x = 106,995,384.82
  5. Step 5: Solve for x
    x = 106,995,384.82/11,849.14
  6. Step 6: Final answer
    x = 9,029.80

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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.