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Finding the Fourth Proportional to 8,288.53, 12,433.50 and 2,741.72

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Solution

The fourth proportional to 8,288.53, 12,433.50 and 2,741.72 is: 4,112.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,288.53 : 12,433.50 = 2,741.72 : x
  2. Step 2: Convert to fraction form
    8,288.53/12,433.50 = 2,741.72/x
  3. Step 3: Cross multiply
    8,288.53x = 12,433.50 × 2,741.72
  4. Step 4: Simplify right side
    8,288.53x = 34,089,113.45
  5. Step 5: Solve for x
    x = 34,089,113.45/8,288.53
  6. Step 6: Final answer
    x = 4,112.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.