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Finding the Fourth Proportional to 11,597.39, 16,004.42 and 6,292.22

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Solution

The fourth proportional to 11,597.39, 16,004.42 and 6,292.22 is: 8,683.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,597.39 : 16,004.42 = 6,292.22 : x
  2. Step 2: Convert to fraction form
    11,597.39/16,004.42 = 6,292.22/x
  3. Step 3: Cross multiply
    11,597.39x = 16,004.42 × 6,292.22
  4. Step 4: Simplify right side
    11,597.39x = 100,703,220.13
  5. Step 5: Solve for x
    x = 100,703,220.13/11,597.39
  6. Step 6: Final answer
    x = 8,683.27

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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.