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Finding the Fourth Proportional to 7,773.29, 10,727.20 and 4,236.49

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Solution

The fourth proportional to 7,773.29, 10,727.20 and 4,236.49 is: 5,846.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,773.29 : 10,727.20 = 4,236.49 : x
  2. Step 2: Convert to fraction form
    7,773.29/10,727.20 = 4,236.49/x
  3. Step 3: Cross multiply
    7,773.29x = 10,727.20 × 4,236.49
  4. Step 4: Simplify right side
    7,773.29x = 45,445,675.53
  5. Step 5: Solve for x
    x = 45,445,675.53/7,773.29
  6. Step 6: Final answer
    x = 5,846.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.