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Finding the Fourth Proportional to 11,002.77, 16,503.89 and 3,211.65

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Solution

The fourth proportional to 11,002.77, 16,503.89 and 3,211.65 is: 4,817.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,002.77 : 16,503.89 = 3,211.65 : x
  2. Step 2: Convert to fraction form
    11,002.77/16,503.89 = 3,211.65/x
  3. Step 3: Cross multiply
    11,002.77x = 16,503.89 × 3,211.65
  4. Step 4: Simplify right side
    11,002.77x = 53,004,702.26
  5. Step 5: Solve for x
    x = 53,004,702.26/11,002.77
  6. Step 6: Final answer
    x = 4,817.40

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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.