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Finding the Fourth Proportional to 11,822.16, 16,314.63 and 6,516.87

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Solution

The fourth proportional to 11,822.16, 16,314.63 and 6,516.87 is: 8,993.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,822.16 : 16,314.63 = 6,516.87 : x
  2. Step 2: Convert to fraction form
    11,822.16/16,314.63 = 6,516.87/x
  3. Step 3: Cross multiply
    11,822.16x = 16,314.63 × 6,516.87
  4. Step 4: Simplify right side
    11,822.16x = 106,320,322.81
  5. Step 5: Solve for x
    x = 106,320,322.81/11,822.16
  6. Step 6: Final answer
    x = 8,993.31

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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.