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Finding the Fourth Proportional to 7,604.88, 11,407.31 and 2,410.75

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Solution

The fourth proportional to 7,604.88, 11,407.31 and 2,410.75 is: 3,616.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,604.88 : 11,407.31 = 2,410.75 : x
  2. Step 2: Convert to fraction form
    7,604.88/11,407.31 = 2,410.75/x
  3. Step 3: Cross multiply
    7,604.88x = 11,407.31 × 2,410.75
  4. Step 4: Simplify right side
    7,604.88x = 27,500,172.58
  5. Step 5: Solve for x
    x = 27,500,172.58/7,604.88
  6. Step 6: Final answer
    x = 3,616.12

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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.