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Finding the Fourth Proportional to 11,306.33, 16,956.04 and 7,818.75

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Solution

The fourth proportional to 11,306.33, 16,956.04 and 7,818.75 is: 11,725.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,306.33 : 16,956.04 = 7,818.75 : x
  2. Step 2: Convert to fraction form
    11,306.33/16,956.04 = 7,818.75/x
  3. Step 3: Cross multiply
    11,306.33x = 16,956.04 × 7,818.75
  4. Step 4: Simplify right side
    11,306.33x = 132,575,037.75
  5. Step 5: Solve for x
    x = 132,575,037.75/11,306.33
  6. Step 6: Final answer
    x = 11,725.74

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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.