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Finding the Fourth Proportional to 8,563.44, 11,816.52 and 4,786.86

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Solution

The fourth proportional to 8,563.44, 11,816.52 and 4,786.86 is: 6,605.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,563.44 : 11,816.52 = 4,786.86 : x
  2. Step 2: Convert to fraction form
    8,563.44/11,816.52 = 4,786.86/x
  3. Step 3: Cross multiply
    8,563.44x = 11,816.52 × 4,786.86
  4. Step 4: Simplify right side
    8,563.44x = 56,564,026.93
  5. Step 5: Solve for x
    x = 56,564,026.93/8,563.44
  6. Step 6: Final answer
    x = 6,605.29

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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.