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Finding the Fourth Proportional to 11,613.24, 16,039.49 and 7,829.91

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Solution

The fourth proportional to 11,613.24, 16,039.49 and 7,829.91 is: 10,814.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,613.24 : 16,039.49 = 7,829.91 : x
  2. Step 2: Convert to fraction form
    11,613.24/16,039.49 = 7,829.91/x
  3. Step 3: Cross multiply
    11,613.24x = 16,039.49 × 7,829.91
  4. Step 4: Simplify right side
    11,613.24x = 125,587,724.00
  5. Step 5: Solve for x
    x = 125,587,724.00/11,613.24
  6. Step 6: Final answer
    x = 10,814.18

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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.