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Finding the Fourth Proportional to 11,678.05, 16,116.19 and 6,643.16

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Solution

The fourth proportional to 11,678.05, 16,116.19 and 6,643.16 is: 9,167.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,678.05 : 16,116.19 = 6,643.16 : x
  2. Step 2: Convert to fraction form
    11,678.05/16,116.19 = 6,643.16/x
  3. Step 3: Cross multiply
    11,678.05x = 16,116.19 × 6,643.16
  4. Step 4: Simplify right side
    11,678.05x = 107,062,348.18
  5. Step 5: Solve for x
    x = 107,062,348.18/11,678.05
  6. Step 6: Final answer
    x = 9,167.83

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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.