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Finding the Fourth Proportional to 8,513.76, 11,745.90 and 5,369.88

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Solution

The fourth proportional to 8,513.76, 11,745.90 and 5,369.88 is: 7,408.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,513.76 : 11,745.90 = 5,369.88 : x
  2. Step 2: Convert to fraction form
    8,513.76/11,745.90 = 5,369.88/x
  3. Step 3: Cross multiply
    8,513.76x = 11,745.90 × 5,369.88
  4. Step 4: Simplify right side
    8,513.76x = 63,074,073.49
  5. Step 5: Solve for x
    x = 63,074,073.49/8,513.76
  6. Step 6: Final answer
    x = 7,408.49

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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.