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Finding the Fourth Proportional to 8,401.81, 12,602.73 and 2,558.47

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Solution

The fourth proportional to 8,401.81, 12,602.73 and 2,558.47 is: 3,837.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,401.81 : 12,602.73 = 2,558.47 : x
  2. Step 2: Convert to fraction form
    8,401.81/12,602.73 = 2,558.47/x
  3. Step 3: Cross multiply
    8,401.81x = 12,602.73 × 2,558.47
  4. Step 4: Simplify right side
    8,401.81x = 32,243,706.62
  5. Step 5: Solve for x
    x = 32,243,706.62/8,401.81
  6. Step 6: Final answer
    x = 3,837.71

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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.