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Finding the Fourth Proportional to 6,716.66, 10,074.98 and 1,786.30

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Solution

The fourth proportional to 6,716.66, 10,074.98 and 1,786.30 is: 2,679.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,716.66 : 10,074.98 = 1,786.30 : x
  2. Step 2: Convert to fraction form
    6,716.66/10,074.98 = 1,786.30/x
  3. Step 3: Cross multiply
    6,716.66x = 10,074.98 × 1,786.30
  4. Step 4: Simplify right side
    6,716.66x = 17,996,936.77
  5. Step 5: Solve for x
    x = 17,996,936.77/6,716.66
  6. Step 6: Final answer
    x = 2,679.45

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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.