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Finding the Fourth Proportional to 11,678.96, 16,117.41 and 6,643.64

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Solution

The fourth proportional to 11,678.96, 16,117.41 and 6,643.64 is: 9,168.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,678.96 : 16,117.41 = 6,643.64 : x
  2. Step 2: Convert to fraction form
    11,678.96/16,117.41 = 6,643.64/x
  3. Step 3: Cross multiply
    11,678.96x = 16,117.41 × 6,643.64
  4. Step 4: Simplify right side
    11,678.96x = 107,078,269.77
  5. Step 5: Solve for x
    x = 107,078,269.77/11,678.96
  6. Step 6: Final answer
    x = 9,168.48

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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.