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Finding the Fourth Proportional to 8,203.40, 12,305.04 and 2,047.40

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Solution

The fourth proportional to 8,203.40, 12,305.04 and 2,047.40 is: 3,071.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,203.40 : 12,305.04 = 2,047.40 : x
  2. Step 2: Convert to fraction form
    8,203.40/12,305.04 = 2,047.40/x
  3. Step 3: Cross multiply
    8,203.40x = 12,305.04 × 2,047.40
  4. Step 4: Simplify right side
    8,203.40x = 25,193,338.90
  5. Step 5: Solve for x
    x = 25,193,338.90/8,203.40
  6. Step 6: Final answer
    x = 3,071.09

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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.