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Finding the Fourth Proportional to 11,617.80, 16,033.02 and 6,582.26

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Solution

The fourth proportional to 11,617.80, 16,033.02 and 6,582.26 is: 9,083.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,617.80 : 16,033.02 = 6,582.26 : x
  2. Step 2: Convert to fraction form
    11,617.80/16,033.02 = 6,582.26/x
  3. Step 3: Cross multiply
    11,617.80x = 16,033.02 × 6,582.26
  4. Step 4: Simplify right side
    11,617.80x = 105,533,506.23
  5. Step 5: Solve for x
    x = 105,533,506.23/11,617.80
  6. Step 6: Final answer
    x = 9,083.78

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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.