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Finding the Fourth Proportional to 7,744.82, 10,684.43 and 4,599.19

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Solution

The fourth proportional to 7,744.82, 10,684.43 and 4,599.19 is: 6,344.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,744.82 : 10,684.43 = 4,599.19 : x
  2. Step 2: Convert to fraction form
    7,744.82/10,684.43 = 4,599.19/x
  3. Step 3: Cross multiply
    7,744.82x = 10,684.43 × 4,599.19
  4. Step 4: Simplify right side
    7,744.82x = 49,139,673.90
  5. Step 5: Solve for x
    x = 49,139,673.90/7,744.82
  6. Step 6: Final answer
    x = 6,344.84

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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.