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Finding the Fourth Proportional to 8,383.86, 12,577.37 and 4,001.63

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Solution

The fourth proportional to 8,383.86, 12,577.37 and 4,001.63 is: 6,003.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,383.86 : 12,577.37 = 4,001.63 : x
  2. Step 2: Convert to fraction form
    8,383.86/12,577.37 = 4,001.63/x
  3. Step 3: Cross multiply
    8,383.86x = 12,577.37 × 4,001.63
  4. Step 4: Simplify right side
    8,383.86x = 50,329,898.22
  5. Step 5: Solve for x
    x = 50,329,898.22/8,383.86
  6. Step 6: Final answer
    x = 6,003.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.