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Finding the Fourth Proportional to 11,307.12, 16,954.46 and 8,982

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Solution

The fourth proportional to 11,307.12, 16,954.46 and 8,982 is: 13,468.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,307.12 : 16,954.46 = 8,982 : x
  2. Step 2: Convert to fraction form
    11,307.12/16,954.46 = 8,982/x
  3. Step 3: Cross multiply
    11,307.12x = 16,954.46 × 8,982
  4. Step 4: Simplify right side
    11,307.12x = 152,284,959.72
  5. Step 5: Solve for x
    x = 152,284,959.72/11,307.12
  6. Step 6: Final answer
    x = 13,468.06

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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.