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Finding the Fourth Proportional to 7,769.58, 11,635.65 and 4,844.22

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Solution

The fourth proportional to 7,769.58, 11,635.65 and 4,844.22 is: 7,254.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,769.58 : 11,635.65 = 4,844.22 : x
  2. Step 2: Convert to fraction form
    7,769.58/11,635.65 = 4,844.22/x
  3. Step 3: Cross multiply
    7,769.58x = 11,635.65 × 4,844.22
  4. Step 4: Simplify right side
    7,769.58x = 56,365,648.44
  5. Step 5: Solve for x
    x = 56,365,648.44/7,769.58
  6. Step 6: Final answer
    x = 7,254.66

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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.