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Finding the Fourth Proportional to 8,676.30, 13,023.09 and 4,782.54

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Solution

The fourth proportional to 8,676.30, 13,023.09 and 4,782.54 is: 7,178.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,676.30 : 13,023.09 = 4,782.54 : x
  2. Step 2: Convert to fraction form
    8,676.30/13,023.09 = 4,782.54/x
  3. Step 3: Cross multiply
    8,676.30x = 13,023.09 × 4,782.54
  4. Step 4: Simplify right side
    8,676.30x = 62,283,448.85
  5. Step 5: Solve for x
    x = 62,283,448.85/8,676.30
  6. Step 6: Final answer
    x = 7,178.57

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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.