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Finding the Fourth Proportional to 11,613.36, 16,026.78 and 6,308.52

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Solution

The fourth proportional to 11,613.36, 16,026.78 and 6,308.52 is: 8,705.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,613.36 : 16,026.78 = 6,308.52 : x
  2. Step 2: Convert to fraction form
    11,613.36/16,026.78 = 6,308.52/x
  3. Step 3: Cross multiply
    11,613.36x = 16,026.78 × 6,308.52
  4. Step 4: Simplify right side
    11,613.36x = 101,105,262.17
  5. Step 5: Solve for x
    x = 101,105,262.17/11,613.36
  6. Step 6: Final answer
    x = 8,705.94

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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.