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Finding the Fourth Proportional to 8,354.82, 11,498.97 and 7,162.50

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Solution

The fourth proportional to 8,354.82, 11,498.97 and 7,162.50 is: 9,857.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,354.82 : 11,498.97 = 7,162.50 : x
  2. Step 2: Convert to fraction form
    8,354.82/11,498.97 = 7,162.50/x
  3. Step 3: Cross multiply
    8,354.82x = 11,498.97 × 7,162.50
  4. Step 4: Simplify right side
    8,354.82x = 82,361,372.63
  5. Step 5: Solve for x
    x = 82,361,372.63/8,354.82
  6. Step 6: Final answer
    x = 9,857.95

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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.