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Finding the Fourth Proportional to 8,382.97, 12,574.48 and 2,539.63

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Solution

The fourth proportional to 8,382.97, 12,574.48 and 2,539.63 is: 3,809.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,382.97 : 12,574.48 = 2,539.63 : x
  2. Step 2: Convert to fraction form
    8,382.97/12,574.48 = 2,539.63/x
  3. Step 3: Cross multiply
    8,382.97x = 12,574.48 × 2,539.63
  4. Step 4: Simplify right side
    8,382.97x = 31,934,526.64
  5. Step 5: Solve for x
    x = 31,934,526.64/8,382.97
  6. Step 6: Final answer
    x = 3,809.45

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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.