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Finding the Fourth Proportional to 7,742.33, 10,684.42 and 4,205.54

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Solution

The fourth proportional to 7,742.33, 10,684.42 and 4,205.54 is: 5,803.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,742.33 : 10,684.42 = 4,205.54 : x
  2. Step 2: Convert to fraction form
    7,742.33/10,684.42 = 4,205.54/x
  3. Step 3: Cross multiply
    7,742.33x = 10,684.42 × 4,205.54
  4. Step 4: Simplify right side
    7,742.33x = 44,933,723.61
  5. Step 5: Solve for x
    x = 44,933,723.61/7,742.33
  6. Step 6: Final answer
    x = 5,803.65

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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.