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Finding the Fourth Proportional to 8,453.41, 12,682.27 and 4,946.36

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Solution

The fourth proportional to 8,453.41, 12,682.27 and 4,946.36 is: 7,420.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,453.41 : 12,682.27 = 4,946.36 : x
  2. Step 2: Convert to fraction form
    8,453.41/12,682.27 = 4,946.36/x
  3. Step 3: Cross multiply
    8,453.41x = 12,682.27 × 4,946.36
  4. Step 4: Simplify right side
    8,453.41x = 62,731,119.76
  5. Step 5: Solve for x
    x = 62,731,119.76/8,453.41
  6. Step 6: Final answer
    x = 7,420.81

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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.