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Finding the Fourth Proportional to 6,199.14, 8,529.47 and 5,357.14

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Solution

The fourth proportional to 6,199.14, 8,529.47 and 5,357.14 is: 7,370.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,199.14 : 8,529.47 = 5,357.14 : x
  2. Step 2: Convert to fraction form
    6,199.14/8,529.47 = 5,357.14/x
  3. Step 3: Cross multiply
    6,199.14x = 8,529.47 × 5,357.14
  4. Step 4: Simplify right side
    6,199.14x = 45,693,584.87
  5. Step 5: Solve for x
    x = 45,693,584.87/6,199.14
  6. Step 6: Final answer
    x = 7,370.96

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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.