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Finding the Fourth Proportional to 8,414.84, 11,612.54 and 4,638.14

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Solution

The fourth proportional to 8,414.84, 11,612.54 and 4,638.14 is: 6,400.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,414.84 : 11,612.54 = 4,638.14 : x
  2. Step 2: Convert to fraction form
    8,414.84/11,612.54 = 4,638.14/x
  3. Step 3: Cross multiply
    8,414.84x = 11,612.54 × 4,638.14
  4. Step 4: Simplify right side
    8,414.84x = 53,860,537.65
  5. Step 5: Solve for x
    x = 53,860,537.65/8,414.84
  6. Step 6: Final answer
    x = 6,400.66

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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.