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Finding the Fourth Proportional to 8,432.42, 12,634.54 and 5,138.60

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Solution

The fourth proportional to 8,432.42, 12,634.54 and 5,138.60 is: 7,699.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,432.42 : 12,634.54 = 5,138.60 : x
  2. Step 2: Convert to fraction form
    8,432.42/12,634.54 = 5,138.60/x
  3. Step 3: Cross multiply
    8,432.42x = 12,634.54 × 5,138.60
  4. Step 4: Simplify right side
    8,432.42x = 64,923,783.72
  5. Step 5: Solve for x
    x = 64,923,783.72/8,432.42
  6. Step 6: Final answer
    x = 7,699.30

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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.