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Finding the Fourth Proportional to 8,423.74, 12,635.64 and 3,801.34

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Solution

The fourth proportional to 8,423.74, 12,635.64 and 3,801.34 is: 5,702.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,423.74 : 12,635.64 = 3,801.34 : x
  2. Step 2: Convert to fraction form
    8,423.74/12,635.64 = 3,801.34/x
  3. Step 3: Cross multiply
    8,423.74x = 12,635.64 × 3,801.34
  4. Step 4: Simplify right side
    8,423.74x = 48,032,363.76
  5. Step 5: Solve for x
    x = 48,032,363.76/8,423.74
  6. Step 6: Final answer
    x = 5,702.02

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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.