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Finding the Fourth Proportional to 8,384.63, 12,557.75 and 4,005.14

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Solution

The fourth proportional to 8,384.63, 12,557.75 and 4,005.14 is: 5,998.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,384.63 : 12,557.75 = 4,005.14 : x
  2. Step 2: Convert to fraction form
    8,384.63/12,557.75 = 4,005.14/x
  3. Step 3: Cross multiply
    8,384.63x = 12,557.75 × 4,005.14
  4. Step 4: Simplify right side
    8,384.63x = 50,295,464.02
  5. Step 5: Solve for x
    x = 50,295,464.02/8,384.63
  6. Step 6: Final answer
    x = 5,998.53

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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.