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Finding the Fourth Proportional to 11,600.26, 16,003.88 and 6,563.33

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Solution

The fourth proportional to 11,600.26, 16,003.88 and 6,563.33 is: 9,054.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,600.26 : 16,003.88 = 6,563.33 : x
  2. Step 2: Convert to fraction form
    11,600.26/16,003.88 = 6,563.33/x
  3. Step 3: Cross multiply
    11,600.26x = 16,003.88 × 6,563.33
  4. Step 4: Simplify right side
    11,600.26x = 105,038,717.51
  5. Step 5: Solve for x
    x = 105,038,717.51/11,600.26
  6. Step 6: Final answer
    x = 9,054.86

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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.