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Finding the Fourth Proportional to 8,133.23, 12,203.94 and 3,206.40

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Solution

The fourth proportional to 8,133.23, 12,203.94 and 3,206.40 is: 4,811.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,133.23 : 12,203.94 = 3,206.40 : x
  2. Step 2: Convert to fraction form
    8,133.23/12,203.94 = 3,206.40/x
  3. Step 3: Cross multiply
    8,133.23x = 12,203.94 × 3,206.40
  4. Step 4: Simplify right side
    8,133.23x = 39,130,713.22
  5. Step 5: Solve for x
    x = 39,130,713.22/8,133.23
  6. Step 6: Final answer
    x = 4,811.21

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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.