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Finding the Fourth Proportional to 8,384.01, 12,577.32 and 2,539.23

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Solution

The fourth proportional to 8,384.01, 12,577.32 and 2,539.23 is: 3,809.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,384.01 : 12,577.32 = 2,539.23 : x
  2. Step 2: Convert to fraction form
    8,384.01/12,577.32 = 2,539.23/x
  3. Step 3: Cross multiply
    8,384.01x = 12,577.32 × 2,539.23
  4. Step 4: Simplify right side
    8,384.01x = 31,936,708.26
  5. Step 5: Solve for x
    x = 31,936,708.26/8,384.01
  6. Step 6: Final answer
    x = 3,809.24

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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.