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Finding the Fourth Proportional to 8,564.24, 11,819.04 and 6,698

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Solution

The fourth proportional to 8,564.24, 11,819.04 and 6,698 is: 9,243.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564.24 : 11,819.04 = 6,698 : x
  2. Step 2: Convert to fraction form
    8,564.24/11,819.04 = 6,698/x
  3. Step 3: Cross multiply
    8,564.24x = 11,819.04 × 6,698
  4. Step 4: Simplify right side
    8,564.24x = 79,163,929.92
  5. Step 5: Solve for x
    x = 79,163,929.92/8,564.24
  6. Step 6: Final answer
    x = 9,243.54

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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.