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Finding the Fourth Proportional to 6,576.93, 9,862.76 and 3,111.75

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Solution

The fourth proportional to 6,576.93, 9,862.76 and 3,111.75 is: 4,666.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,576.93 : 9,862.76 = 3,111.75 : x
  2. Step 2: Convert to fraction form
    6,576.93/9,862.76 = 3,111.75/x
  3. Step 3: Cross multiply
    6,576.93x = 9,862.76 × 3,111.75
  4. Step 4: Simplify right side
    6,576.93x = 30,690,451.21
  5. Step 5: Solve for x
    x = 30,690,451.21/6,576.93
  6. Step 6: Final answer
    x = 4,666.38

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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.