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Finding the Fourth Proportional to 11,758.35, 17,701.70 and 10,725

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Solution

The fourth proportional to 11,758.35, 17,701.70 and 10,725 is: 16,146.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,758.35 : 17,701.70 = 10,725 : x
  2. Step 2: Convert to fraction form
    11,758.35/17,701.70 = 10,725/x
  3. Step 3: Cross multiply
    11,758.35x = 17,701.70 × 10,725
  4. Step 4: Simplify right side
    11,758.35x = 189,850,732.50
  5. Step 5: Solve for x
    x = 189,850,732.50/11,758.35
  6. Step 6: Final answer
    x = 16,146.04

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.