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Finding the Fourth Proportional to 11,200.24, 16,788.06 and 4,622.86

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Solution

The fourth proportional to 11,200.24, 16,788.06 and 4,622.86 is: 6,929.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,200.24 : 16,788.06 = 4,622.86 : x
  2. Step 2: Convert to fraction form
    11,200.24/16,788.06 = 4,622.86/x
  3. Step 3: Cross multiply
    11,200.24x = 16,788.06 × 4,622.86
  4. Step 4: Simplify right side
    11,200.24x = 77,608,851.05
  5. Step 5: Solve for x
    x = 77,608,851.05/11,200.24
  6. Step 6: Final answer
    x = 6,929.21

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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.