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Finding the Fourth Proportional to 11,057.76, 15,262.92 and 7,089.48

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Solution

The fourth proportional to 11,057.76, 15,262.92 and 7,089.48 is: 9,785.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,057.76 : 15,262.92 = 7,089.48 : x
  2. Step 2: Convert to fraction form
    11,057.76/15,262.92 = 7,089.48/x
  3. Step 3: Cross multiply
    11,057.76x = 15,262.92 × 7,089.48
  4. Step 4: Simplify right side
    11,057.76x = 108,206,166.08
  5. Step 5: Solve for x
    x = 108,206,166.08/11,057.76
  6. Step 6: Final answer
    x = 9,785.54

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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.