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Finding the Fourth Proportional to 8,025.46, 12,038.23 and 5,269.57

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Solution

The fourth proportional to 8,025.46, 12,038.23 and 5,269.57 is: 7,904.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,025.46 : 12,038.23 = 5,269.57 : x
  2. Step 2: Convert to fraction form
    8,025.46/12,038.23 = 5,269.57/x
  3. Step 3: Cross multiply
    8,025.46x = 12,038.23 × 5,269.57
  4. Step 4: Simplify right side
    8,025.46x = 63,436,295.66
  5. Step 5: Solve for x
    x = 63,436,295.66/8,025.46
  6. Step 6: Final answer
    x = 7,904.38

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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.