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Finding the Fourth Proportional to 8,462.02, 12,685.74 and 3,271.54

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Solution

The fourth proportional to 8,462.02, 12,685.74 and 3,271.54 is: 4,904.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,462.02 : 12,685.74 = 3,271.54 : x
  2. Step 2: Convert to fraction form
    8,462.02/12,685.74 = 3,271.54/x
  3. Step 3: Cross multiply
    8,462.02x = 12,685.74 × 3,271.54
  4. Step 4: Simplify right side
    8,462.02x = 41,501,905.84
  5. Step 5: Solve for x
    x = 41,501,905.84/8,462.02
  6. Step 6: Final answer
    x = 4,904.49

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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.