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Finding the Fourth Proportional to 10,196.16, 14,079 and 8,308.02

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Solution

The fourth proportional to 10,196.16, 14,079 and 8,308.02 is: 11,471.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,196.16 : 14,079 = 8,308.02 : x
  2. Step 2: Convert to fraction form
    10,196.16/14,079 = 8,308.02/x
  3. Step 3: Cross multiply
    10,196.16x = 14,079 × 8,308.02
  4. Step 4: Simplify right side
    10,196.16x = 116,968,613.58
  5. Step 5: Solve for x
    x = 116,968,613.58/10,196.16
  6. Step 6: Final answer
    x = 11,471.83

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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.