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Finding the Fourth Proportional to 7,647.72, 11,470.21 and 2,025.43

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Solution

The fourth proportional to 7,647.72, 11,470.21 and 2,025.43 is: 3,037.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,647.72 : 11,470.21 = 2,025.43 : x
  2. Step 2: Convert to fraction form
    7,647.72/11,470.21 = 2,025.43/x
  3. Step 3: Cross multiply
    7,647.72x = 11,470.21 × 2,025.43
  4. Step 4: Simplify right side
    7,647.72x = 23,232,045.03
  5. Step 5: Solve for x
    x = 23,232,045.03/7,647.72
  6. Step 6: Final answer
    x = 3,037.77

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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.