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Finding the Fourth Proportional to 7,686.18, 11,519.16 and 3,063.78

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Solution

The fourth proportional to 7,686.18, 11,519.16 and 3,063.78 is: 4,591.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,686.18 : 11,519.16 = 3,063.78 : x
  2. Step 2: Convert to fraction form
    7,686.18/11,519.16 = 3,063.78/x
  3. Step 3: Cross multiply
    7,686.18x = 11,519.16 × 3,063.78
  4. Step 4: Simplify right side
    7,686.18x = 35,292,172.02
  5. Step 5: Solve for x
    x = 35,292,172.02/7,686.18
  6. Step 6: Final answer
    x = 4,591.64

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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.