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Finding the Fourth Proportional to 8,513.48, 11,738.92 and 5,994.78

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Solution

The fourth proportional to 8,513.48, 11,738.92 and 5,994.78 is: 8,265.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,513.48 : 11,738.92 = 5,994.78 : x
  2. Step 2: Convert to fraction form
    8,513.48/11,738.92 = 5,994.78/x
  3. Step 3: Cross multiply
    8,513.48x = 11,738.92 × 5,994.78
  4. Step 4: Simplify right side
    8,513.48x = 70,372,242.84
  5. Step 5: Solve for x
    x = 70,372,242.84/8,513.48
  6. Step 6: Final answer
    x = 8,265.98

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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.