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Finding the Fourth Proportional to 6,350, 8,760.98 and 4,113.59

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Solution

The fourth proportional to 6,350, 8,760.98 and 4,113.59 is: 5,675.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,350 : 8,760.98 = 4,113.59 : x
  2. Step 2: Convert to fraction form
    6,350/8,760.98 = 4,113.59/x
  3. Step 3: Cross multiply
    6,350x = 8,760.98 × 4,113.59
  4. Step 4: Simplify right side
    6,350x = 36,039,059.15
  5. Step 5: Solve for x
    x = 36,039,059.15/6,350
  6. Step 6: Final answer
    x = 5,675.44

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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.