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Finding the Fourth Proportional to 11,211.61, 16,809.21 and 3,814.08

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Solution

The fourth proportional to 11,211.61, 16,809.21 and 3,814.08 is: 5,718.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,211.61 : 16,809.21 = 3,814.08 : x
  2. Step 2: Convert to fraction form
    11,211.61/16,809.21 = 3,814.08/x
  3. Step 3: Cross multiply
    11,211.61x = 16,809.21 × 3,814.08
  4. Step 4: Simplify right side
    11,211.61x = 64,111,671.68
  5. Step 5: Solve for x
    x = 64,111,671.68/11,211.61
  6. Step 6: Final answer
    x = 5,718.33

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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.