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Finding the Fourth Proportional to 8,374.36, 12,561.45 and 2,049.31

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Solution

The fourth proportional to 8,374.36, 12,561.45 and 2,049.31 is: 3,073.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,374.36 : 12,561.45 = 2,049.31 : x
  2. Step 2: Convert to fraction form
    8,374.36/12,561.45 = 2,049.31/x
  3. Step 3: Cross multiply
    8,374.36x = 12,561.45 × 2,049.31
  4. Step 4: Simplify right side
    8,374.36x = 25,742,305.10
  5. Step 5: Solve for x
    x = 25,742,305.10/8,374.36
  6. Step 6: Final answer
    x = 3,073.94

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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.