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Finding the Fourth Proportional to 11,818.94, 16,305 and 7,036.20

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Solution

The fourth proportional to 11,818.94, 16,305 and 7,036.20 is: 9,706.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,818.94 : 16,305 = 7,036.20 : x
  2. Step 2: Convert to fraction form
    11,818.94/16,305 = 7,036.20/x
  3. Step 3: Cross multiply
    11,818.94x = 16,305 × 7,036.20
  4. Step 4: Simplify right side
    11,818.94x = 114,725,241
  5. Step 5: Solve for x
    x = 114,725,241/11,818.94
  6. Step 6: Final answer
    x = 9,706.90

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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.