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Finding the Fourth Proportional to 8,281.40, 11,429.90 and 4,744.96

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Solution

The fourth proportional to 8,281.40, 11,429.90 and 4,744.96 is: 6,548.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,281.40 : 11,429.90 = 4,744.96 : x
  2. Step 2: Convert to fraction form
    8,281.40/11,429.90 = 4,744.96/x
  3. Step 3: Cross multiply
    8,281.40x = 11,429.90 × 4,744.96
  4. Step 4: Simplify right side
    8,281.40x = 54,234,418.30
  5. Step 5: Solve for x
    x = 54,234,418.30/8,281.40
  6. Step 6: Final answer
    x = 6,548.94

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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.