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Finding the Fourth Proportional to 11,811.82, 16,300.11 and 6,507.13

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Solution

The fourth proportional to 11,811.82, 16,300.11 and 6,507.13 is: 8,979.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,811.82 : 16,300.11 = 6,507.13 : x
  2. Step 2: Convert to fraction form
    11,811.82/16,300.11 = 6,507.13/x
  3. Step 3: Cross multiply
    11,811.82x = 16,300.11 × 6,507.13
  4. Step 4: Simplify right side
    11,811.82x = 106,066,934.78
  5. Step 5: Solve for x
    x = 106,066,934.78/11,811.82
  6. Step 6: Final answer
    x = 8,979.73

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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.