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Finding the Fourth Proportional to 7,723.69, 11,599.58 and 7,410.49

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Solution

The fourth proportional to 7,723.69, 11,599.58 and 7,410.49 is: 11,129.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,723.69 : 11,599.58 = 7,410.49 : x
  2. Step 2: Convert to fraction form
    7,723.69/11,599.58 = 7,410.49/x
  3. Step 3: Cross multiply
    7,723.69x = 11,599.58 × 7,410.49
  4. Step 4: Simplify right side
    7,723.69x = 85,958,571.59
  5. Step 5: Solve for x
    x = 85,958,571.59/7,723.69
  6. Step 6: Final answer
    x = 11,129.21

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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.