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Finding the Fourth Proportional to 7,620.48, 10,517.76 and 4,824

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Solution

The fourth proportional to 7,620.48, 10,517.76 and 4,824 is: 6,658.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,620.48 : 10,517.76 = 4,824 : x
  2. Step 2: Convert to fraction form
    7,620.48/10,517.76 = 4,824/x
  3. Step 3: Cross multiply
    7,620.48x = 10,517.76 × 4,824
  4. Step 4: Simplify right side
    7,620.48x = 50,737,674.24
  5. Step 5: Solve for x
    x = 50,737,674.24/7,620.48
  6. Step 6: Final answer
    x = 6,658.07

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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.