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Finding the Fourth Proportional to 10,777.44, 14,876.80 and 6,801.14

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Solution

The fourth proportional to 10,777.44, 14,876.80 and 6,801.14 is: 9,388.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,777.44 : 14,876.80 = 6,801.14 : x
  2. Step 2: Convert to fraction form
    10,777.44/14,876.80 = 6,801.14/x
  3. Step 3: Cross multiply
    10,777.44x = 14,876.80 × 6,801.14
  4. Step 4: Simplify right side
    10,777.44x = 101,179,199.55
  5. Step 5: Solve for x
    x = 101,179,199.55/10,777.44
  6. Step 6: Final answer
    x = 9,388.06

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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.