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Finding the Fourth Proportional to 8,020.58, 12,031.23 and 2,826.50

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Solution

The fourth proportional to 8,020.58, 12,031.23 and 2,826.50 is: 4,239.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,020.58 : 12,031.23 = 2,826.50 : x
  2. Step 2: Convert to fraction form
    8,020.58/12,031.23 = 2,826.50/x
  3. Step 3: Cross multiply
    8,020.58x = 12,031.23 × 2,826.50
  4. Step 4: Simplify right side
    8,020.58x = 34,006,271.60
  5. Step 5: Solve for x
    x = 34,006,271.60/8,020.58
  6. Step 6: Final answer
    x = 4,239.88

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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.