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Finding the Fourth Proportional to 7,784.66, 11,676.12 and 2,786.82

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Solution

The fourth proportional to 7,784.66, 11,676.12 and 2,786.82 is: 4,179.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,784.66 : 11,676.12 = 2,786.82 : x
  2. Step 2: Convert to fraction form
    7,784.66/11,676.12 = 2,786.82/x
  3. Step 3: Cross multiply
    7,784.66x = 11,676.12 × 2,786.82
  4. Step 4: Simplify right side
    7,784.66x = 32,539,244.74
  5. Step 5: Solve for x
    x = 32,539,244.74/7,784.66
  6. Step 6: Final answer
    x = 4,179.92

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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.