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Finding the Fourth Proportional to 10,273.78, 14,177.01 and 5,798.62

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Solution

The fourth proportional to 10,273.78, 14,177.01 and 5,798.62 is: 8,001.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,273.78 : 14,177.01 = 5,798.62 : x
  2. Step 2: Convert to fraction form
    10,273.78/14,177.01 = 5,798.62/x
  3. Step 3: Cross multiply
    10,273.78x = 14,177.01 × 5,798.62
  4. Step 4: Simplify right side
    10,273.78x = 82,207,093.73
  5. Step 5: Solve for x
    x = 82,207,093.73/10,273.78
  6. Step 6: Final answer
    x = 8,001.64

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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.