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Finding the Fourth Proportional to 8,414.94, 11,612.80 and 4,638.36

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Solution

The fourth proportional to 8,414.94, 11,612.80 and 4,638.36 is: 6,401.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,414.94 : 11,612.80 = 4,638.36 : x
  2. Step 2: Convert to fraction form
    8,414.94/11,612.80 = 4,638.36/x
  3. Step 3: Cross multiply
    8,414.94x = 11,612.80 × 4,638.36
  4. Step 4: Simplify right side
    8,414.94x = 53,864,347.01
  5. Step 5: Solve for x
    x = 53,864,347.01/8,414.94
  6. Step 6: Final answer
    x = 6,401.04

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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.