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Finding the Fourth Proportional to 7,760.66, 11,641.39 and 2,214.82

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Solution

The fourth proportional to 7,760.66, 11,641.39 and 2,214.82 is: 3,322.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,760.66 : 11,641.39 = 2,214.82 : x
  2. Step 2: Convert to fraction form
    7,760.66/11,641.39 = 2,214.82/x
  3. Step 3: Cross multiply
    7,760.66x = 11,641.39 × 2,214.82
  4. Step 4: Simplify right side
    7,760.66x = 25,783,548.76
  5. Step 5: Solve for x
    x = 25,783,548.76/7,760.66
  6. Step 6: Final answer
    x = 3,322.34

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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.