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Finding the Fourth Proportional to 6,380.95, 8,810.01 and 5,706.66

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Solution

The fourth proportional to 6,380.95, 8,810.01 and 5,706.66 is: 7,879.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,380.95 : 8,810.01 = 5,706.66 : x
  2. Step 2: Convert to fraction form
    6,380.95/8,810.01 = 5,706.66/x
  3. Step 3: Cross multiply
    6,380.95x = 8,810.01 × 5,706.66
  4. Step 4: Simplify right side
    6,380.95x = 50,275,659.08
  5. Step 5: Solve for x
    x = 50,275,659.08/6,380.95
  6. Step 6: Final answer
    x = 7,879.02

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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.