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Finding the Fourth Proportional to 8,074.12, 11,146.50 and 5,435.44

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Solution

The fourth proportional to 8,074.12, 11,146.50 and 5,435.44 is: 7,503.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,074.12 : 11,146.50 = 5,435.44 : x
  2. Step 2: Convert to fraction form
    8,074.12/11,146.50 = 5,435.44/x
  3. Step 3: Cross multiply
    8,074.12x = 11,146.50 × 5,435.44
  4. Step 4: Simplify right side
    8,074.12x = 60,586,131.96
  5. Step 5: Solve for x
    x = 60,586,131.96/8,074.12
  6. Step 6: Final answer
    x = 7,503.74

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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.