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Finding the Fourth Proportional to 11,781.40, 17,672.10 and 5,210.68

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Solution

The fourth proportional to 11,781.40, 17,672.10 and 5,210.68 is: 7,816.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,781.40 : 17,672.10 = 5,210.68 : x
  2. Step 2: Convert to fraction form
    11,781.40/17,672.10 = 5,210.68/x
  3. Step 3: Cross multiply
    11,781.40x = 17,672.10 × 5,210.68
  4. Step 4: Simplify right side
    11,781.40x = 92,083,658.03
  5. Step 5: Solve for x
    x = 92,083,658.03/11,781.40
  6. Step 6: Final answer
    x = 7,816.02

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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.