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Finding the Fourth Proportional to 11,228.53, 16,840.74 and 4,207.86

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Solution

The fourth proportional to 11,228.53, 16,840.74 and 4,207.86 is: 6,311.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,228.53 : 16,840.74 = 4,207.86 : x
  2. Step 2: Convert to fraction form
    11,228.53/16,840.74 = 4,207.86/x
  3. Step 3: Cross multiply
    11,228.53x = 16,840.74 × 4,207.86
  4. Step 4: Simplify right side
    11,228.53x = 70,863,476.22
  5. Step 5: Solve for x
    x = 70,863,476.22/11,228.53
  6. Step 6: Final answer
    x = 6,311.02

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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.