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Finding the Fourth Proportional to 11,257.92, 15,542.28 and 7,726.32

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Solution

The fourth proportional to 11,257.92, 15,542.28 and 7,726.32 is: 10,666.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,257.92 : 15,542.28 = 7,726.32 : x
  2. Step 2: Convert to fraction form
    11,257.92/15,542.28 = 7,726.32/x
  3. Step 3: Cross multiply
    11,257.92x = 15,542.28 × 7,726.32
  4. Step 4: Simplify right side
    11,257.92x = 120,084,628.81
  5. Step 5: Solve for x
    x = 120,084,628.81/11,257.92
  6. Step 6: Final answer
    x = 10,666.68

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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.