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Finding the Fourth Proportional to 8,102.98, 11,182.77 and 4,566.43

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Solution

The fourth proportional to 8,102.98, 11,182.77 and 4,566.43 is: 6,302.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,102.98 : 11,182.77 = 4,566.43 : x
  2. Step 2: Convert to fraction form
    8,102.98/11,182.77 = 4,566.43/x
  3. Step 3: Cross multiply
    8,102.98x = 11,182.77 × 4,566.43
  4. Step 4: Simplify right side
    8,102.98x = 51,065,336.41
  5. Step 5: Solve for x
    x = 51,065,336.41/8,102.98
  6. Step 6: Final answer
    x = 6,302.04

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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.