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Finding the Fourth Proportional to 8,029.80, 12,045.11 and 3,647.57

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Solution

The fourth proportional to 8,029.80, 12,045.11 and 3,647.57 is: 5,471.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,029.80 : 12,045.11 = 3,647.57 : x
  2. Step 2: Convert to fraction form
    8,029.80/12,045.11 = 3,647.57/x
  3. Step 3: Cross multiply
    8,029.80x = 12,045.11 × 3,647.57
  4. Step 4: Simplify right side
    8,029.80x = 43,935,303.42
  5. Step 5: Solve for x
    x = 43,935,303.42/8,029.80
  6. Step 6: Final answer
    x = 5,471.53

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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.