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Finding the Fourth Proportional to 11,876.48, 17,806.08 and 7,262.72

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Solution

The fourth proportional to 11,876.48, 17,806.08 and 7,262.72 is: 10,888.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,876.48 : 17,806.08 = 7,262.72 : x
  2. Step 2: Convert to fraction form
    11,876.48/17,806.08 = 7,262.72/x
  3. Step 3: Cross multiply
    11,876.48x = 17,806.08 × 7,262.72
  4. Step 4: Simplify right side
    11,876.48x = 129,320,573.34
  5. Step 5: Solve for x
    x = 129,320,573.34/11,876.48
  6. Step 6: Final answer
    x = 10,888.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.