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Finding the Fourth Proportional to 6,857.40, 10,307.70 and 6,727.80

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Solution

The fourth proportional to 6,857.40, 10,307.70 and 6,727.80 is: 10,112.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,857.40 : 10,307.70 = 6,727.80 : x
  2. Step 2: Convert to fraction form
    6,857.40/10,307.70 = 6,727.80/x
  3. Step 3: Cross multiply
    6,857.40x = 10,307.70 × 6,727.80
  4. Step 4: Simplify right side
    6,857.40x = 69,348,144.06
  5. Step 5: Solve for x
    x = 69,348,144.06/6,857.40
  6. Step 6: Final answer
    x = 10,112.89

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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.