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Finding the Fourth Proportional to 11,384.14, 17,083.90 and 3,988.66

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Solution

The fourth proportional to 11,384.14, 17,083.90 and 3,988.66 is: 5,985.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,384.14 : 17,083.90 = 3,988.66 : x
  2. Step 2: Convert to fraction form
    11,384.14/17,083.90 = 3,988.66/x
  3. Step 3: Cross multiply
    11,384.14x = 17,083.90 × 3,988.66
  4. Step 4: Simplify right side
    11,384.14x = 68,141,868.57
  5. Step 5: Solve for x
    x = 68,141,868.57/11,384.14
  6. Step 6: Final answer
    x = 5,985.68

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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.