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Finding the Fourth Proportional to 8,196.98, 12,296.58 and 2,648.48

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Solution

The fourth proportional to 8,196.98, 12,296.58 and 2,648.48 is: 3,973.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,196.98 : 12,296.58 = 2,648.48 : x
  2. Step 2: Convert to fraction form
    8,196.98/12,296.58 = 2,648.48/x
  3. Step 3: Cross multiply
    8,196.98x = 12,296.58 × 2,648.48
  4. Step 4: Simplify right side
    8,196.98x = 32,567,246.20
  5. Step 5: Solve for x
    x = 32,567,246.20/8,196.98
  6. Step 6: Final answer
    x = 3,973.08

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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.