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Finding the Fourth Proportional to 7,684.74, 10,605.14 and 4,327.68

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Solution

The fourth proportional to 7,684.74, 10,605.14 and 4,327.68 is: 5,972.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,684.74 : 10,605.14 = 4,327.68 : x
  2. Step 2: Convert to fraction form
    7,684.74/10,605.14 = 4,327.68/x
  3. Step 3: Cross multiply
    7,684.74x = 10,605.14 × 4,327.68
  4. Step 4: Simplify right side
    7,684.74x = 45,895,652.28
  5. Step 5: Solve for x
    x = 45,895,652.28/7,684.74
  6. Step 6: Final answer
    x = 5,972.31

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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.