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Finding the Fourth Proportional to 11,006.10, 16,507.08 and 3,000.78

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Solution

The fourth proportional to 11,006.10, 16,507.08 and 3,000.78 is: 4,500.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,006.10 : 16,507.08 = 3,000.78 : x
  2. Step 2: Convert to fraction form
    11,006.10/16,507.08 = 3,000.78/x
  3. Step 3: Cross multiply
    11,006.10x = 16,507.08 × 3,000.78
  4. Step 4: Simplify right side
    11,006.10x = 49,534,115.52
  5. Step 5: Solve for x
    x = 49,534,115.52/11,006.10
  6. Step 6: Final answer
    x = 4,500.61

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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.