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Finding the Fourth Proportional to 11,888.26, 16,406.72 and 6,583.57

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Solution

The fourth proportional to 11,888.26, 16,406.72 and 6,583.57 is: 9,085.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,888.26 : 16,406.72 = 6,583.57 : x
  2. Step 2: Convert to fraction form
    11,888.26/16,406.72 = 6,583.57/x
  3. Step 3: Cross multiply
    11,888.26x = 16,406.72 × 6,583.57
  4. Step 4: Simplify right side
    11,888.26x = 108,014,740.34
  5. Step 5: Solve for x
    x = 108,014,740.34/11,888.26
  6. Step 6: Final answer
    x = 9,085.83

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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.