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Finding the Fourth Proportional to 8,138.37, 11,232.14 and 5,154.48

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Solution

The fourth proportional to 8,138.37, 11,232.14 and 5,154.48 is: 7,113.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,138.37 : 11,232.14 = 5,154.48 : x
  2. Step 2: Convert to fraction form
    8,138.37/11,232.14 = 5,154.48/x
  3. Step 3: Cross multiply
    8,138.37x = 11,232.14 × 5,154.48
  4. Step 4: Simplify right side
    8,138.37x = 57,895,784.83
  5. Step 5: Solve for x
    x = 57,895,784.83/8,138.37
  6. Step 6: Final answer
    x = 7,113.93

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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.