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Finding the Fourth Proportional to 8,149.07, 12,206.59 and 5,212.46

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Solution

The fourth proportional to 8,149.07, 12,206.59 and 5,212.46 is: 7,807.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,149.07 : 12,206.59 = 5,212.46 : x
  2. Step 2: Convert to fraction form
    8,149.07/12,206.59 = 5,212.46/x
  3. Step 3: Cross multiply
    8,149.07x = 12,206.59 × 5,212.46
  4. Step 4: Simplify right side
    8,149.07x = 63,626,362.11
  5. Step 5: Solve for x
    x = 63,626,362.11/8,149.07
  6. Step 6: Final answer
    x = 7,807.81

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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.