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Finding the Fourth Proportional to 8,440.70, 12,657.81 and 3,762.14

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Solution

The fourth proportional to 8,440.70, 12,657.81 and 3,762.14 is: 5,641.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,440.70 : 12,657.81 = 3,762.14 : x
  2. Step 2: Convert to fraction form
    8,440.70/12,657.81 = 3,762.14/x
  3. Step 3: Cross multiply
    8,440.70x = 12,657.81 × 3,762.14
  4. Step 4: Simplify right side
    8,440.70x = 47,620,453.31
  5. Step 5: Solve for x
    x = 47,620,453.31/8,440.70
  6. Step 6: Final answer
    x = 5,641.77

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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.