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Finding the Fourth Proportional to 8,284.49, 11,429.53 and 4,927.44

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Solution

The fourth proportional to 8,284.49, 11,429.53 and 4,927.44 is: 6,798.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,284.49 : 11,429.53 = 4,927.44 : x
  2. Step 2: Convert to fraction form
    8,284.49/11,429.53 = 4,927.44/x
  3. Step 3: Cross multiply
    8,284.49x = 11,429.53 × 4,927.44
  4. Step 4: Simplify right side
    8,284.49x = 56,318,310.98
  5. Step 5: Solve for x
    x = 56,318,310.98/8,284.49
  6. Step 6: Final answer
    x = 6,798.05

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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.