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Finding the Fourth Proportional to 8,147.41, 11,237.64 and 7,477.38

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Solution

The fourth proportional to 8,147.41, 11,237.64 and 7,477.38 is: 10,313.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,147.41 : 11,237.64 = 7,477.38 : x
  2. Step 2: Convert to fraction form
    8,147.41/11,237.64 = 7,477.38/x
  3. Step 3: Cross multiply
    8,147.41x = 11,237.64 × 7,477.38
  4. Step 4: Simplify right side
    8,147.41x = 84,028,118.68
  5. Step 5: Solve for x
    x = 84,028,118.68/8,147.41
  6. Step 6: Final answer
    x = 10,313.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.