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Finding the Fourth Proportional to 7,705.52, 10,630.24 and 4,517.20

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Solution

The fourth proportional to 7,705.52, 10,630.24 and 4,517.20 is: 6,231.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,705.52 : 10,630.24 = 4,517.20 : x
  2. Step 2: Convert to fraction form
    7,705.52/10,630.24 = 4,517.20/x
  3. Step 3: Cross multiply
    7,705.52x = 10,630.24 × 4,517.20
  4. Step 4: Simplify right side
    7,705.52x = 48,018,896.33
  5. Step 5: Solve for x
    x = 48,018,896.33/7,705.52
  6. Step 6: Final answer
    x = 6,231.75

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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.