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Finding the Fourth Proportional to 11,993.16, 16,549.50 and 6,888.72

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Solution

The fourth proportional to 11,993.16, 16,549.50 and 6,888.72 is: 9,505.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,993.16 : 16,549.50 = 6,888.72 : x
  2. Step 2: Convert to fraction form
    11,993.16/16,549.50 = 6,888.72/x
  3. Step 3: Cross multiply
    11,993.16x = 16,549.50 × 6,888.72
  4. Step 4: Simplify right side
    11,993.16x = 114,004,871.64
  5. Step 5: Solve for x
    x = 114,004,871.64/11,993.16
  6. Step 6: Final answer
    x = 9,505.82

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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.