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Finding the Fourth Proportional to 6,895.57, 10,339.57 and 3,195.76

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Solution

The fourth proportional to 6,895.57, 10,339.57 and 3,195.76 is: 4,791.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,895.57 : 10,339.57 = 3,195.76 : x
  2. Step 2: Convert to fraction form
    6,895.57/10,339.57 = 3,195.76/x
  3. Step 3: Cross multiply
    6,895.57x = 10,339.57 × 3,195.76
  4. Step 4: Simplify right side
    6,895.57x = 33,042,784.22
  5. Step 5: Solve for x
    x = 33,042,784.22/6,895.57
  6. Step 6: Final answer
    x = 4,791.89

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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.