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Finding the Fourth Proportional to 11,006.72, 16,509.47 and 8,048.20

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Solution

The fourth proportional to 11,006.72, 16,509.47 and 8,048.20 is: 12,071.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,006.72 : 16,509.47 = 8,048.20 : x
  2. Step 2: Convert to fraction form
    11,006.72/16,509.47 = 8,048.20/x
  3. Step 3: Cross multiply
    11,006.72x = 16,509.47 × 8,048.20
  4. Step 4: Simplify right side
    11,006.72x = 132,871,433.91
  5. Step 5: Solve for x
    x = 132,871,433.91/11,006.72
  6. Step 6: Final answer
    x = 12,071.85

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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.