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Finding the Fourth Proportional to 6,858.64, 10,273.56 and 6,780.88

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Solution

The fourth proportional to 6,858.64, 10,273.56 and 6,780.88 is: 10,157.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,858.64 : 10,273.56 = 6,780.88 : x
  2. Step 2: Convert to fraction form
    6,858.64/10,273.56 = 6,780.88/x
  3. Step 3: Cross multiply
    6,858.64x = 10,273.56 × 6,780.88
  4. Step 4: Simplify right side
    6,858.64x = 69,663,777.53
  5. Step 5: Solve for x
    x = 69,663,777.53/6,858.64
  6. Step 6: Final answer
    x = 10,157.08

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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.