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Finding the Fourth Proportional to 8,633.76, 11,918.20 and 5,840.88

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Solution

The fourth proportional to 8,633.76, 11,918.20 and 5,840.88 is: 8,062.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,633.76 : 11,918.20 = 5,840.88 : x
  2. Step 2: Convert to fraction form
    8,633.76/11,918.20 = 5,840.88/x
  3. Step 3: Cross multiply
    8,633.76x = 11,918.20 × 5,840.88
  4. Step 4: Simplify right side
    8,633.76x = 69,612,776.02
  5. Step 5: Solve for x
    x = 69,612,776.02/8,633.76
  6. Step 6: Final answer
    x = 8,062.86

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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.