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Finding the Fourth Proportional to 6,777.74, 10,166.61 and 3,312.56

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Solution

The fourth proportional to 6,777.74, 10,166.61 and 3,312.56 is: 4,968.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,777.74 : 10,166.61 = 3,312.56 : x
  2. Step 2: Convert to fraction form
    6,777.74/10,166.61 = 3,312.56/x
  3. Step 3: Cross multiply
    6,777.74x = 10,166.61 × 3,312.56
  4. Step 4: Simplify right side
    6,777.74x = 33,677,543.46
  5. Step 5: Solve for x
    x = 33,677,543.46/6,777.74
  6. Step 6: Final answer
    x = 4,968.84

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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.