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Finding the Fourth Proportional to 8,200.40, 11,315.12 and 4,842.96

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Solution

The fourth proportional to 8,200.40, 11,315.12 and 4,842.96 is: 6,682.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,200.40 : 11,315.12 = 4,842.96 : x
  2. Step 2: Convert to fraction form
    8,200.40/11,315.12 = 4,842.96/x
  3. Step 3: Cross multiply
    8,200.40x = 11,315.12 × 4,842.96
  4. Step 4: Simplify right side
    8,200.40x = 54,798,673.56
  5. Step 5: Solve for x
    x = 54,798,673.56/8,200.40
  6. Step 6: Final answer
    x = 6,682.44

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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.