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Finding the Fourth Proportional to 7,829.68, 11,734.78 and 3,664.24

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Solution

The fourth proportional to 7,829.68, 11,734.78 and 3,664.24 is: 5,491.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,829.68 : 11,734.78 = 3,664.24 : x
  2. Step 2: Convert to fraction form
    7,829.68/11,734.78 = 3,664.24/x
  3. Step 3: Cross multiply
    7,829.68x = 11,734.78 × 3,664.24
  4. Step 4: Simplify right side
    7,829.68x = 42,999,050.27
  5. Step 5: Solve for x
    x = 42,999,050.27/7,829.68
  6. Step 6: Final answer
    x = 5,491.80

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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.