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Finding the Fourth Proportional to 7,773.44, 10,727.51 and 4,416.39

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Solution

The fourth proportional to 7,773.44, 10,727.51 and 4,416.39 is: 6,094.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,773.44 : 10,727.51 = 4,416.39 : x
  2. Step 2: Convert to fraction form
    7,773.44/10,727.51 = 4,416.39/x
  3. Step 3: Cross multiply
    7,773.44x = 10,727.51 × 4,416.39
  4. Step 4: Simplify right side
    7,773.44x = 47,376,845.81
  5. Step 5: Solve for x
    x = 47,376,845.81/7,773.44
  6. Step 6: Final answer
    x = 6,094.71

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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.