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Finding the Fourth Proportional to 11,888.16, 16,405.74 and 6,583.32

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Solution

The fourth proportional to 11,888.16, 16,405.74 and 6,583.32 is: 9,085.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,888.16 : 16,405.74 = 6,583.32 : x
  2. Step 2: Convert to fraction form
    11,888.16/16,405.74 = 6,583.32/x
  3. Step 3: Cross multiply
    11,888.16x = 16,405.74 × 6,583.32
  4. Step 4: Simplify right side
    11,888.16x = 108,004,236.26
  5. Step 5: Solve for x
    x = 108,004,236.26/11,888.16
  6. Step 6: Final answer
    x = 9,085.03

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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.