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Finding the Fourth Proportional to 10,021.96, 15,034.38 and 3,097

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Solution

The fourth proportional to 10,021.96, 15,034.38 and 3,097 is: 4,645.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,021.96 : 15,034.38 = 3,097 : x
  2. Step 2: Convert to fraction form
    10,021.96/15,034.38 = 3,097/x
  3. Step 3: Cross multiply
    10,021.96x = 15,034.38 × 3,097
  4. Step 4: Simplify right side
    10,021.96x = 46,561,474.86
  5. Step 5: Solve for x
    x = 46,561,474.86/10,021.96
  6. Step 6: Final answer
    x = 4,645.94

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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.