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Finding the Fourth Proportional to 8,382.54, 12,573.31 and 4,676.46

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Solution

The fourth proportional to 8,382.54, 12,573.31 and 4,676.46 is: 7,014.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,382.54 : 12,573.31 = 4,676.46 : x
  2. Step 2: Convert to fraction form
    8,382.54/12,573.31 = 4,676.46/x
  3. Step 3: Cross multiply
    8,382.54x = 12,573.31 × 4,676.46
  4. Step 4: Simplify right side
    8,382.54x = 58,798,581.28
  5. Step 5: Solve for x
    x = 58,798,581.28/8,382.54
  6. Step 6: Final answer
    x = 7,014.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.