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Finding the Fourth Proportional to 6,396.30, 8,823.74 and 5,510.57

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Solution

The fourth proportional to 6,396.30, 8,823.74 and 5,510.57 is: 7,601.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,396.30 : 8,823.74 = 5,510.57 : x
  2. Step 2: Convert to fraction form
    6,396.30/8,823.74 = 5,510.57/x
  3. Step 3: Cross multiply
    6,396.30x = 8,823.74 × 5,510.57
  4. Step 4: Simplify right side
    6,396.30x = 48,623,765.26
  5. Step 5: Solve for x
    x = 48,623,765.26/6,396.30
  6. Step 6: Final answer
    x = 7,601.86

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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.