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Finding the Fourth Proportional to 8,393.84, 11,583.16 and 5,409.80

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Solution

The fourth proportional to 8,393.84, 11,583.16 and 5,409.80 is: 7,465.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,393.84 : 11,583.16 = 5,409.80 : x
  2. Step 2: Convert to fraction form
    8,393.84/11,583.16 = 5,409.80/x
  3. Step 3: Cross multiply
    8,393.84x = 11,583.16 × 5,409.80
  4. Step 4: Simplify right side
    8,393.84x = 62,662,578.97
  5. Step 5: Solve for x
    x = 62,662,578.97/8,393.84
  6. Step 6: Final answer
    x = 7,465.31

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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.