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Finding the Fourth Proportional to 8,102.53, 11,181.10 and 4,565.97

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Solution

The fourth proportional to 8,102.53, 11,181.10 and 4,565.97 is: 6,300.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,102.53 : 11,181.10 = 4,565.97 : x
  2. Step 2: Convert to fraction form
    8,102.53/11,181.10 = 4,565.97/x
  3. Step 3: Cross multiply
    8,102.53x = 11,181.10 × 4,565.97
  4. Step 4: Simplify right side
    8,102.53x = 51,052,572.29
  5. Step 5: Solve for x
    x = 51,052,572.29/8,102.53
  6. Step 6: Final answer
    x = 6,300.82

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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.