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Finding the Fourth Proportional to 7,565.23, 11,340.91 and 3,183

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Solution

The fourth proportional to 7,565.23, 11,340.91 and 3,183 is: 4,771.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,565.23 : 11,340.91 = 3,183 : x
  2. Step 2: Convert to fraction form
    7,565.23/11,340.91 = 3,183/x
  3. Step 3: Cross multiply
    7,565.23x = 11,340.91 × 3,183
  4. Step 4: Simplify right side
    7,565.23x = 36,098,116.53
  5. Step 5: Solve for x
    x = 36,098,116.53/7,565.23
  6. Step 6: Final answer
    x = 4,771.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.