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Finding the Fourth Proportional to 7,657.43, 11,485.71 and 2,034.95

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Solution

The fourth proportional to 7,657.43, 11,485.71 and 2,034.95 is: 3,052.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,657.43 : 11,485.71 = 2,034.95 : x
  2. Step 2: Convert to fraction form
    7,657.43/11,485.71 = 2,034.95/x
  3. Step 3: Cross multiply
    7,657.43x = 11,485.71 × 2,034.95
  4. Step 4: Simplify right side
    7,657.43x = 23,372,788.14
  5. Step 5: Solve for x
    x = 23,372,788.14/7,657.43
  6. Step 6: Final answer
    x = 3,052.30

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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.