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Finding the Fourth Proportional to 7,604.18, 11,406.67 and 2,410.46

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Solution

The fourth proportional to 7,604.18, 11,406.67 and 2,410.46 is: 3,615.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,604.18 : 11,406.67 = 2,410.46 : x
  2. Step 2: Convert to fraction form
    7,604.18/11,406.67 = 2,410.46/x
  3. Step 3: Cross multiply
    7,604.18x = 11,406.67 × 2,410.46
  4. Step 4: Simplify right side
    7,604.18x = 27,495,252.68
  5. Step 5: Solve for x
    x = 27,495,252.68/7,604.18
  6. Step 6: Final answer
    x = 3,615.81

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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.