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Finding the Fourth Proportional to 8,435.34, 12,654.36 and 4,052.70

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Solution

The fourth proportional to 8,435.34, 12,654.36 and 4,052.70 is: 6,079.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,435.34 : 12,654.36 = 4,052.70 : x
  2. Step 2: Convert to fraction form
    8,435.34/12,654.36 = 4,052.70/x
  3. Step 3: Cross multiply
    8,435.34x = 12,654.36 × 4,052.70
  4. Step 4: Simplify right side
    8,435.34x = 51,284,324.77
  5. Step 5: Solve for x
    x = 51,284,324.77/8,435.34
  6. Step 6: Final answer
    x = 6,079.70

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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.