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Finding the Fourth Proportional to 6,515.64, 8,993.77 and 4,061.81

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Solution

The fourth proportional to 6,515.64, 8,993.77 and 4,061.81 is: 5,606.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,515.64 : 8,993.77 = 4,061.81 : x
  2. Step 2: Convert to fraction form
    6,515.64/8,993.77 = 4,061.81/x
  3. Step 3: Cross multiply
    6,515.64x = 8,993.77 × 4,061.81
  4. Step 4: Simplify right side
    6,515.64x = 36,530,997.25
  5. Step 5: Solve for x
    x = 36,530,997.25/6,515.64
  6. Step 6: Final answer
    x = 5,606.66

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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.