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Finding the Fourth Proportional to 8,381.44, 12,574.22 and 2,537.72

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Solution

The fourth proportional to 8,381.44, 12,574.22 and 2,537.72 is: 3,807.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,381.44 : 12,574.22 = 2,537.72 : x
  2. Step 2: Convert to fraction form
    8,381.44/12,574.22 = 2,537.72/x
  3. Step 3: Cross multiply
    8,381.44x = 12,574.22 × 2,537.72
  4. Step 4: Simplify right side
    8,381.44x = 31,909,849.58
  5. Step 5: Solve for x
    x = 31,909,849.58/8,381.44
  6. Step 6: Final answer
    x = 3,807.20

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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.