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Finding the Fourth Proportional to 11,228.66, 16,843.85 and 6,549.14

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Solution

The fourth proportional to 11,228.66, 16,843.85 and 6,549.14 is: 9,824.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,228.66 : 16,843.85 = 6,549.14 : x
  2. Step 2: Convert to fraction form
    11,228.66/16,843.85 = 6,549.14/x
  3. Step 3: Cross multiply
    11,228.66x = 16,843.85 × 6,549.14
  4. Step 4: Simplify right side
    11,228.66x = 110,312,614.82
  5. Step 5: Solve for x
    x = 110,312,614.82/11,228.66
  6. Step 6: Final answer
    x = 9,824.20

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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.