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Finding the Fourth Proportional to 11,054.92, 15,255.78 and 6,578.68

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Solution

The fourth proportional to 11,054.92, 15,255.78 and 6,578.68 is: 9,078.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,054.92 : 15,255.78 = 6,578.68 : x
  2. Step 2: Convert to fraction form
    11,054.92/15,255.78 = 6,578.68/x
  3. Step 3: Cross multiply
    11,054.92x = 15,255.78 × 6,578.68
  4. Step 4: Simplify right side
    11,054.92x = 100,362,894.77
  5. Step 5: Solve for x
    x = 100,362,894.77/11,054.92
  6. Step 6: Final answer
    x = 9,078.57

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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.