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Finding the Fourth Proportional to 12,874.72, 17,765.76 and 7,285.36

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Solution

The fourth proportional to 12,874.72, 17,765.76 and 7,285.36 is: 10,053.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,874.72 : 17,765.76 = 7,285.36 : x
  2. Step 2: Convert to fraction form
    12,874.72/17,765.76 = 7,285.36/x
  3. Step 3: Cross multiply
    12,874.72x = 17,765.76 × 7,285.36
  4. Step 4: Simplify right side
    12,874.72x = 129,429,957.27
  5. Step 5: Solve for x
    x = 129,429,957.27/12,874.72
  6. Step 6: Final answer
    x = 10,053.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.