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Finding the Fourth Proportional to 11,210.81, 16,817.42 and 3,813.89

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Solution

The fourth proportional to 11,210.81, 16,817.42 and 3,813.89 is: 5,721.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,210.81 : 16,817.42 = 3,813.89 : x
  2. Step 2: Convert to fraction form
    11,210.81/16,817.42 = 3,813.89/x
  3. Step 3: Cross multiply
    11,210.81x = 16,817.42 × 3,813.89
  4. Step 4: Simplify right side
    11,210.81x = 64,139,715.41
  5. Step 5: Solve for x
    x = 64,139,715.41/11,210.81
  6. Step 6: Final answer
    x = 5,721.24

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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.