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Finding the Fourth Proportional to 8,051.94, 11,116.85 and 6,563.43

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Solution

The fourth proportional to 8,051.94, 11,116.85 and 6,563.43 is: 9,061.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,051.94 : 11,116.85 = 6,563.43 : x
  2. Step 2: Convert to fraction form
    8,051.94/11,116.85 = 6,563.43/x
  3. Step 3: Cross multiply
    8,051.94x = 11,116.85 × 6,563.43
  4. Step 4: Simplify right side
    8,051.94x = 72,964,633.98
  5. Step 5: Solve for x
    x = 72,964,633.98/8,051.94
  6. Step 6: Final answer
    x = 9,061.75

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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.