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Finding the Fourth Proportional to 8,425.35, 11,626.88 and 4,648.42

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Solution

The fourth proportional to 8,425.35, 11,626.88 and 4,648.42 is: 6,414.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,425.35 : 11,626.88 = 4,648.42 : x
  2. Step 2: Convert to fraction form
    8,425.35/11,626.88 = 4,648.42/x
  3. Step 3: Cross multiply
    8,425.35x = 11,626.88 × 4,648.42
  4. Step 4: Simplify right side
    8,425.35x = 54,046,612.82
  5. Step 5: Solve for x
    x = 54,046,612.82/8,425.35
  6. Step 6: Final answer
    x = 6,414.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.