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Finding the Fourth Proportional to 7,735.14, 11,604.17 and 3,518.71

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Solution

The fourth proportional to 7,735.14, 11,604.17 and 3,518.71 is: 5,278.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,735.14 : 11,604.17 = 3,518.71 : x
  2. Step 2: Convert to fraction form
    7,735.14/11,604.17 = 3,518.71/x
  3. Step 3: Cross multiply
    7,735.14x = 11,604.17 × 3,518.71
  4. Step 4: Simplify right side
    7,735.14x = 40,831,688.81
  5. Step 5: Solve for x
    x = 40,831,688.81/7,735.14
  6. Step 6: Final answer
    x = 5,278.73

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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.