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Finding the Fourth Proportional to 11,002.44, 16,509.78 and 8,542.20

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Solution

The fourth proportional to 11,002.44, 16,509.78 and 8,542.20 is: 12,818.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,002.44 : 16,509.78 = 8,542.20 : x
  2. Step 2: Convert to fraction form
    11,002.44/16,509.78 = 8,542.20/x
  3. Step 3: Cross multiply
    11,002.44x = 16,509.78 × 8,542.20
  4. Step 4: Simplify right side
    11,002.44x = 141,029,842.72
  5. Step 5: Solve for x
    x = 141,029,842.72/11,002.44
  6. Step 6: Final answer
    x = 12,818.05

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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.