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Finding the Fourth Proportional to 8,435.42, 12,654.67 and 3,505.44

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Solution

The fourth proportional to 8,435.42, 12,654.67 and 3,505.44 is: 5,258.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,435.42 : 12,654.67 = 3,505.44 : x
  2. Step 2: Convert to fraction form
    8,435.42/12,654.67 = 3,505.44/x
  3. Step 3: Cross multiply
    8,435.42x = 12,654.67 × 3,505.44
  4. Step 4: Simplify right side
    8,435.42x = 44,360,186.40
  5. Step 5: Solve for x
    x = 44,360,186.40/8,435.42
  6. Step 6: Final answer
    x = 5,258.80

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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.