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Finding the Fourth Proportional to 10,627.70, 16,003.56 and 7,873.89

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Solution

The fourth proportional to 10,627.70, 16,003.56 and 7,873.89 is: 11,856.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,627.70 : 16,003.56 = 7,873.89 : x
  2. Step 2: Convert to fraction form
    10,627.70/16,003.56 = 7,873.89/x
  3. Step 3: Cross multiply
    10,627.70x = 16,003.56 × 7,873.89
  4. Step 4: Simplify right side
    10,627.70x = 126,010,271.05
  5. Step 5: Solve for x
    x = 126,010,271.05/10,627.70
  6. Step 6: Final answer
    x = 11,856.78

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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.