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Finding the Fourth Proportional to 8,102.62, 11,181.99 and 4,565.98

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Solution

The fourth proportional to 8,102.62, 11,181.99 and 4,565.98 is: 6,301.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,102.62 : 11,181.99 = 4,565.98 : x
  2. Step 2: Convert to fraction form
    8,102.62/11,181.99 = 4,565.98/x
  3. Step 3: Cross multiply
    8,102.62x = 11,181.99 × 4,565.98
  4. Step 4: Simplify right side
    8,102.62x = 51,056,742.70
  5. Step 5: Solve for x
    x = 51,056,742.70/8,102.62
  6. Step 6: Final answer
    x = 6,301.26

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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.