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Finding the Fourth Proportional to 11,522.94, 17,283.03 and 6,781.95

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Solution

The fourth proportional to 11,522.94, 17,283.03 and 6,781.95 is: 10,172.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,522.94 : 17,283.03 = 6,781.95 : x
  2. Step 2: Convert to fraction form
    11,522.94/17,283.03 = 6,781.95/x
  3. Step 3: Cross multiply
    11,522.94x = 17,283.03 × 6,781.95
  4. Step 4: Simplify right side
    11,522.94x = 117,212,645.31
  5. Step 5: Solve for x
    x = 117,212,645.31/11,522.94
  6. Step 6: Final answer
    x = 10,172.11

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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.