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Finding the Fourth Proportional to 7,256.74, 10,014.42 and 4,112.86

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Solution

The fourth proportional to 7,256.74, 10,014.42 and 4,112.86 is: 5,675.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,256.74 : 10,014.42 = 4,112.86 : x
  2. Step 2: Convert to fraction form
    7,256.74/10,014.42 = 4,112.86/x
  3. Step 3: Cross multiply
    7,256.74x = 10,014.42 × 4,112.86
  4. Step 4: Simplify right side
    7,256.74x = 41,187,907.44
  5. Step 5: Solve for x
    x = 41,187,907.44/7,256.74
  6. Step 6: Final answer
    x = 5,675.81

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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.