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Finding the Fourth Proportional to 7,635.46, 11,454.42 and 3,740.17

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Solution

The fourth proportional to 7,635.46, 11,454.42 and 3,740.17 is: 5,610.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,635.46 : 11,454.42 = 3,740.17 : x
  2. Step 2: Convert to fraction form
    7,635.46/11,454.42 = 3,740.17/x
  3. Step 3: Cross multiply
    7,635.46x = 11,454.42 × 3,740.17
  4. Step 4: Simplify right side
    7,635.46x = 42,841,478.05
  5. Step 5: Solve for x
    x = 42,841,478.05/7,635.46
  6. Step 6: Final answer
    x = 5,610.86

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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.