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Finding the Fourth Proportional to 11,050.92, 16,578 and 3,258.72

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Solution

The fourth proportional to 11,050.92, 16,578 and 3,258.72 is: 4,888.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,050.92 : 16,578 = 3,258.72 : x
  2. Step 2: Convert to fraction form
    11,050.92/16,578 = 3,258.72/x
  3. Step 3: Cross multiply
    11,050.92x = 16,578 × 3,258.72
  4. Step 4: Simplify right side
    11,050.92x = 54,023,060.16
  5. Step 5: Solve for x
    x = 54,023,060.16/11,050.92
  6. Step 6: Final answer
    x = 4,888.56

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