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Finding the Fourth Proportional to 6,024.30, 8,306.82 and 3,783.43

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Solution

The fourth proportional to 6,024.30, 8,306.82 and 3,783.43 is: 5,216.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,024.30 : 8,306.82 = 3,783.43 : x
  2. Step 2: Convert to fraction form
    6,024.30/8,306.82 = 3,783.43/x
  3. Step 3: Cross multiply
    6,024.30x = 8,306.82 × 3,783.43
  4. Step 4: Simplify right side
    6,024.30x = 31,428,271.99
  5. Step 5: Solve for x
    x = 31,428,271.99/6,024.30
  6. Step 6: Final answer
    x = 5,216.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.