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Finding the Fourth Proportional to 11,220.78, 16,828.10 and 4,645.38

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Solution

The fourth proportional to 11,220.78, 16,828.10 and 4,645.38 is: 6,966.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,220.78 : 16,828.10 = 4,645.38 : x
  2. Step 2: Convert to fraction form
    11,220.78/16,828.10 = 4,645.38/x
  3. Step 3: Cross multiply
    11,220.78x = 16,828.10 × 4,645.38
  4. Step 4: Simplify right side
    11,220.78x = 78,172,919.18
  5. Step 5: Solve for x
    x = 78,172,919.18/11,220.78
  6. Step 6: Final answer
    x = 6,966.80

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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.