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Finding the Fourth Proportional to 8,435.35, 11,640.49 and 4,658.46

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Solution

The fourth proportional to 8,435.35, 11,640.49 and 4,658.46 is: 6,428.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,435.35 : 11,640.49 = 4,658.46 : x
  2. Step 2: Convert to fraction form
    8,435.35/11,640.49 = 4,658.46/x
  3. Step 3: Cross multiply
    8,435.35x = 11,640.49 × 4,658.46
  4. Step 4: Simplify right side
    8,435.35x = 54,226,757.05
  5. Step 5: Solve for x
    x = 54,226,757.05/8,435.35
  6. Step 6: Final answer
    x = 6,428.51

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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.