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Finding the Fourth Proportional to 7,409.68, 10,224.24 and 4,757.44

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Solution

The fourth proportional to 7,409.68, 10,224.24 and 4,757.44 is: 6,564.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,409.68 : 10,224.24 = 4,757.44 : x
  2. Step 2: Convert to fraction form
    7,409.68/10,224.24 = 4,757.44/x
  3. Step 3: Cross multiply
    7,409.68x = 10,224.24 × 4,757.44
  4. Step 4: Simplify right side
    7,409.68x = 48,641,208.35
  5. Step 5: Solve for x
    x = 48,641,208.35/7,409.68
  6. Step 6: Final answer
    x = 6,564.55

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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.