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Finding the Fourth Proportional to 6,786.60, 10,173.40 and 4,313.76

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Solution

The fourth proportional to 6,786.60, 10,173.40 and 4,313.76 is: 6,466.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,786.60 : 10,173.40 = 4,313.76 : x
  2. Step 2: Convert to fraction form
    6,786.60/10,173.40 = 4,313.76/x
  3. Step 3: Cross multiply
    6,786.60x = 10,173.40 × 4,313.76
  4. Step 4: Simplify right side
    6,786.60x = 43,885,605.98
  5. Step 5: Solve for x
    x = 43,885,605.98/6,786.60
  6. Step 6: Final answer
    x = 6,466.51

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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.