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Finding the Fourth Proportional to 11,229, 16,821.91 and 6,283.65

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Solution

The fourth proportional to 11,229, 16,821.91 and 6,283.65 is: 9,413.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,229 : 16,821.91 = 6,283.65 : x
  2. Step 2: Convert to fraction form
    11,229/16,821.91 = 6,283.65/x
  3. Step 3: Cross multiply
    11,229x = 16,821.91 × 6,283.65
  4. Step 4: Simplify right side
    11,229x = 105,702,994.77
  5. Step 5: Solve for x
    x = 105,702,994.77/11,229
  6. Step 6: Final answer
    x = 9,413.39

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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.