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Finding the Fourth Proportional to 6,523.83, 9,777.11 and 3,053.79

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Solution

The fourth proportional to 6,523.83, 9,777.11 and 3,053.79 is: 4,576.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,523.83 : 9,777.11 = 3,053.79 : x
  2. Step 2: Convert to fraction form
    6,523.83/9,777.11 = 3,053.79/x
  3. Step 3: Cross multiply
    6,523.83x = 9,777.11 × 3,053.79
  4. Step 4: Simplify right side
    6,523.83x = 29,857,225.48
  5. Step 5: Solve for x
    x = 29,857,225.48/6,523.83
  6. Step 6: Final answer
    x = 4,576.64

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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.