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Finding the Fourth Proportional to 8,001.63, 11,041.92 and 4,644.18

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Solution

The fourth proportional to 8,001.63, 11,041.92 and 4,644.18 is: 6,408.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,001.63 : 11,041.92 = 4,644.18 : x
  2. Step 2: Convert to fraction form
    8,001.63/11,041.92 = 4,644.18/x
  3. Step 3: Cross multiply
    8,001.63x = 11,041.92 × 4,644.18
  4. Step 4: Simplify right side
    8,001.63x = 51,280,664.03
  5. Step 5: Solve for x
    x = 51,280,664.03/8,001.63
  6. Step 6: Final answer
    x = 6,408.78

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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.