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Finding the Fourth Proportional to 6,400.59, 9,588.08 and 5,086.56

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Solution

The fourth proportional to 6,400.59, 9,588.08 and 5,086.56 is: 7,619.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,400.59 : 9,588.08 = 5,086.56 : x
  2. Step 2: Convert to fraction form
    6,400.59/9,588.08 = 5,086.56/x
  3. Step 3: Cross multiply
    6,400.59x = 9,588.08 × 5,086.56
  4. Step 4: Simplify right side
    6,400.59x = 48,770,318.77
  5. Step 5: Solve for x
    x = 48,770,318.77/6,400.59
  6. Step 6: Final answer
    x = 7,619.66

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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.