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Finding the Fourth Proportional to 8,535.06, 12,806.24 and 3,271.64

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Solution

The fourth proportional to 8,535.06, 12,806.24 and 3,271.64 is: 4,908.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,535.06 : 12,806.24 = 3,271.64 : x
  2. Step 2: Convert to fraction form
    8,535.06/12,806.24 = 3,271.64/x
  3. Step 3: Cross multiply
    8,535.06x = 12,806.24 × 3,271.64
  4. Step 4: Simplify right side
    8,535.06x = 41,897,326.64
  5. Step 5: Solve for x
    x = 41,897,326.64/8,535.06
  6. Step 6: Final answer
    x = 4,908.85

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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.