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Finding the Fourth Proportional to 6,378.53, 8,806.67 and 5,704.25

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Solution

The fourth proportional to 6,378.53, 8,806.67 and 5,704.25 is: 7,875.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,378.53 : 8,806.67 = 5,704.25 : x
  2. Step 2: Convert to fraction form
    6,378.53/8,806.67 = 5,704.25/x
  3. Step 3: Cross multiply
    6,378.53x = 8,806.67 × 5,704.25
  4. Step 4: Simplify right side
    6,378.53x = 50,235,396.18
  5. Step 5: Solve for x
    x = 50,235,396.18/6,378.53
  6. Step 6: Final answer
    x = 7,875.70

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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.