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Finding the Fourth Proportional to 8,123.76, 11,212.29 and 5,137.56

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Solution

The fourth proportional to 8,123.76, 11,212.29 and 5,137.56 is: 7,090.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,123.76 : 11,212.29 = 5,137.56 : x
  2. Step 2: Convert to fraction form
    8,123.76/11,212.29 = 5,137.56/x
  3. Step 3: Cross multiply
    8,123.76x = 11,212.29 × 5,137.56
  4. Step 4: Simplify right side
    8,123.76x = 57,603,812.61
  5. Step 5: Solve for x
    x = 57,603,812.61/8,123.76
  6. Step 6: Final answer
    x = 7,090.78

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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.