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Finding the Fourth Proportional to 11,284.50, 16,904.86 and 5,445.20

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Solution

The fourth proportional to 11,284.50, 16,904.86 and 5,445.20 is: 8,157.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,284.50 : 16,904.86 = 5,445.20 : x
  2. Step 2: Convert to fraction form
    11,284.50/16,904.86 = 5,445.20/x
  3. Step 3: Cross multiply
    11,284.50x = 16,904.86 × 5,445.20
  4. Step 4: Simplify right side
    11,284.50x = 92,050,343.67
  5. Step 5: Solve for x
    x = 92,050,343.67/11,284.50
  6. Step 6: Final answer
    x = 8,157.24

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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.