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Finding the Fourth Proportional to 11,611.18, 16,023.43 and 6,306

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Solution

The fourth proportional to 11,611.18, 16,023.43 and 6,306 is: 8,702.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,611.18 : 16,023.43 = 6,306 : x
  2. Step 2: Convert to fraction form
    11,611.18/16,023.43 = 6,306/x
  3. Step 3: Cross multiply
    11,611.18x = 16,023.43 × 6,306
  4. Step 4: Simplify right side
    11,611.18x = 101,043,749.58
  5. Step 5: Solve for x
    x = 101,043,749.58/11,611.18
  6. Step 6: Final answer
    x = 8,702.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.