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Finding the Fourth Proportional to 10,151.74, 15,229.79 and 3,036.54

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Solution

The fourth proportional to 10,151.74, 15,229.79 and 3,036.54 is: 4,555.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,151.74 : 15,229.79 = 3,036.54 : x
  2. Step 2: Convert to fraction form
    10,151.74/15,229.79 = 3,036.54/x
  3. Step 3: Cross multiply
    10,151.74x = 15,229.79 × 3,036.54
  4. Step 4: Simplify right side
    10,151.74x = 46,245,879.86
  5. Step 5: Solve for x
    x = 46,245,879.86/10,151.74
  6. Step 6: Final answer
    x = 4,555.46

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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.