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Finding the Fourth Proportional to 11,693.59, 17,551.32 and 5,777.16

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Solution

The fourth proportional to 11,693.59, 17,551.32 and 5,777.16 is: 8,671.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,693.59 : 17,551.32 = 5,777.16 : x
  2. Step 2: Convert to fraction form
    11,693.59/17,551.32 = 5,777.16/x
  3. Step 3: Cross multiply
    11,693.59x = 17,551.32 × 5,777.16
  4. Step 4: Simplify right side
    11,693.59x = 101,396,783.85
  5. Step 5: Solve for x
    x = 101,396,783.85/11,693.59
  6. Step 6: Final answer
    x = 8,671.14

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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.