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Finding the Fourth Proportional to 10,673.78, 14,727.62 and 8,151.44

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Solution

The fourth proportional to 10,673.78, 14,727.62 and 8,151.44 is: 11,247.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,673.78 : 14,727.62 = 8,151.44 : x
  2. Step 2: Convert to fraction form
    10,673.78/14,727.62 = 8,151.44/x
  3. Step 3: Cross multiply
    10,673.78x = 14,727.62 × 8,151.44
  4. Step 4: Simplify right side
    10,673.78x = 120,051,257.51
  5. Step 5: Solve for x
    x = 120,051,257.51/10,673.78
  6. Step 6: Final answer
    x = 11,247.31

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