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Finding the Fourth Proportional to 8,244.72, 11,377.94 and 4,707.86

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Solution

The fourth proportional to 8,244.72, 11,377.94 and 4,707.86 is: 6,496.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,244.72 : 11,377.94 = 4,707.86 : x
  2. Step 2: Convert to fraction form
    8,244.72/11,377.94 = 4,707.86/x
  3. Step 3: Cross multiply
    8,244.72x = 11,377.94 × 4,707.86
  4. Step 4: Simplify right side
    8,244.72x = 53,565,668.18
  5. Step 5: Solve for x
    x = 53,565,668.18/8,244.72
  6. Step 6: Final answer
    x = 6,496.97

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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.