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Finding the Fourth Proportional to 11,678.86, 16,116.69 and 6,373.72

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Solution

The fourth proportional to 11,678.86, 16,116.69 and 6,373.72 is: 8,795.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,678.86 : 16,116.69 = 6,373.72 : x
  2. Step 2: Convert to fraction form
    11,678.86/16,116.69 = 6,373.72/x
  3. Step 3: Cross multiply
    11,678.86x = 16,116.69 × 6,373.72
  4. Step 4: Simplify right side
    11,678.86x = 102,723,269.39
  5. Step 5: Solve for x
    x = 102,723,269.39/11,678.86
  6. Step 6: Final answer
    x = 8,795.66

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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.