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Finding the Fourth Proportional to 11,822.01, 16,314.29 and 6,516.82

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Solution

The fourth proportional to 11,822.01, 16,314.29 and 6,516.82 is: 8,993.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,822.01 : 16,314.29 = 6,516.82 : x
  2. Step 2: Convert to fraction form
    11,822.01/16,314.29 = 6,516.82/x
  3. Step 3: Cross multiply
    11,822.01x = 16,314.29 × 6,516.82
  4. Step 4: Simplify right side
    11,822.01x = 106,317,291.36
  5. Step 5: Solve for x
    x = 106,317,291.36/11,822.01
  6. Step 6: Final answer
    x = 8,993.17

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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.