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Finding the Fourth Proportional to 8,453.75, 11,665.94 and 4,677.12

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Solution

The fourth proportional to 8,453.75, 11,665.94 and 4,677.12 is: 6,454.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,453.75 : 11,665.94 = 4,677.12 : x
  2. Step 2: Convert to fraction form
    8,453.75/11,665.94 = 4,677.12/x
  3. Step 3: Cross multiply
    8,453.75x = 11,665.94 × 4,677.12
  4. Step 4: Simplify right side
    8,453.75x = 54,562,977.91
  5. Step 5: Solve for x
    x = 54,562,977.91/8,453.75
  6. Step 6: Final answer
    x = 6,454.30

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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.