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Finding the Fourth Proportional to 7,761.47, 11,643.69 and 3,080.55

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Solution

The fourth proportional to 7,761.47, 11,643.69 and 3,080.55 is: 4,621.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,761.47 : 11,643.69 = 3,080.55 : x
  2. Step 2: Convert to fraction form
    7,761.47/11,643.69 = 3,080.55/x
  3. Step 3: Cross multiply
    7,761.47x = 11,643.69 × 3,080.55
  4. Step 4: Simplify right side
    7,761.47x = 35,868,969.23
  5. Step 5: Solve for x
    x = 35,868,969.23/7,761.47
  6. Step 6: Final answer
    x = 4,621.42

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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.