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Finding the Fourth Proportional to 7,684.75, 10,605.15 and 4,327.69

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Solution

The fourth proportional to 7,684.75, 10,605.15 and 4,327.69 is: 5,972.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,684.75 : 10,605.15 = 4,327.69 : x
  2. Step 2: Convert to fraction form
    7,684.75/10,605.15 = 4,327.69/x
  3. Step 3: Cross multiply
    7,684.75x = 10,605.15 × 4,327.69
  4. Step 4: Simplify right side
    7,684.75x = 45,895,801.60
  5. Step 5: Solve for x
    x = 45,895,801.60/7,684.75
  6. Step 6: Final answer
    x = 5,972.32

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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.