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Finding the Fourth Proportional to 8,103.94, 12,140.04 and 7,222.36

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Solution

The fourth proportional to 8,103.94, 12,140.04 and 7,222.36 is: 10,819.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,103.94 : 12,140.04 = 7,222.36 : x
  2. Step 2: Convert to fraction form
    8,103.94/12,140.04 = 7,222.36/x
  3. Step 3: Cross multiply
    8,103.94x = 12,140.04 × 7,222.36
  4. Step 4: Simplify right side
    8,103.94x = 87,679,739.29
  5. Step 5: Solve for x
    x = 87,679,739.29/8,103.94
  6. Step 6: Final answer
    x = 10,819.40

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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.