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Finding the Fourth Proportional to 12,876.48, 17,769.60 and 7,288.56

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Solution

The fourth proportional to 12,876.48, 17,769.60 and 7,288.56 is: 10,058.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,876.48 : 17,769.60 = 7,288.56 : x
  2. Step 2: Convert to fraction form
    12,876.48/17,769.60 = 7,288.56/x
  3. Step 3: Cross multiply
    12,876.48x = 17,769.60 × 7,288.56
  4. Step 4: Simplify right side
    12,876.48x = 129,514,795.78
  5. Step 5: Solve for x
    x = 129,514,795.78/12,876.48
  6. Step 6: Final answer
    x = 10,058.25

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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.