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Finding the Fourth Proportional to 6,517.24, 8,993.84 and 3,533.13

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Solution

The fourth proportional to 6,517.24, 8,993.84 and 3,533.13 is: 4,875.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,517.24 : 8,993.84 = 3,533.13 : x
  2. Step 2: Convert to fraction form
    6,517.24/8,993.84 = 3,533.13/x
  3. Step 3: Cross multiply
    6,517.24x = 8,993.84 × 3,533.13
  4. Step 4: Simplify right side
    6,517.24x = 31,776,369.78
  5. Step 5: Solve for x
    x = 31,776,369.78/6,517.24
  6. Step 6: Final answer
    x = 4,875.74

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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.