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Finding the Fourth Proportional to 8,394.56, 11,584 and 4,857.52

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Solution

The fourth proportional to 8,394.56, 11,584 and 4,857.52 is: 6,703.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,394.56 : 11,584 = 4,857.52 : x
  2. Step 2: Convert to fraction form
    8,394.56/11,584 = 4,857.52/x
  3. Step 3: Cross multiply
    8,394.56x = 11,584 × 4,857.52
  4. Step 4: Simplify right side
    8,394.56x = 56,269,511.68
  5. Step 5: Solve for x
    x = 56,269,511.68/8,394.56
  6. Step 6: Final answer
    x = 6,703.09

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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.