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Finding the Fourth Proportional to 8,093.64, 12,135.62 and 3,157.50

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Solution

The fourth proportional to 8,093.64, 12,135.62 and 3,157.50 is: 4,734.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,093.64 : 12,135.62 = 3,157.50 : x
  2. Step 2: Convert to fraction form
    8,093.64/12,135.62 = 3,157.50/x
  3. Step 3: Cross multiply
    8,093.64x = 12,135.62 × 3,157.50
  4. Step 4: Simplify right side
    8,093.64x = 38,318,220.15
  5. Step 5: Solve for x
    x = 38,318,220.15/8,093.64
  6. Step 6: Final answer
    x = 4,734.36

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Why These Related Problems?

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