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Finding the Fourth Proportional to 11,745.86, 16,211.87 and 9,188.55

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Solution

The fourth proportional to 11,745.86, 16,211.87 and 9,188.55 is: 12,682.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,745.86 : 16,211.87 = 9,188.55 : x
  2. Step 2: Convert to fraction form
    11,745.86/16,211.87 = 9,188.55/x
  3. Step 3: Cross multiply
    11,745.86x = 16,211.87 × 9,188.55
  4. Step 4: Simplify right side
    11,745.86x = 148,963,505.81
  5. Step 5: Solve for x
    x = 148,963,505.81/11,745.86
  6. Step 6: Final answer
    x = 12,682.22

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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.