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Finding the Fourth Proportional to 11,674.75, 16,111.16 and 7,483

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Solution

The fourth proportional to 11,674.75, 16,111.16 and 7,483 is: 10,326.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,674.75 : 16,111.16 = 7,483 : x
  2. Step 2: Convert to fraction form
    11,674.75/16,111.16 = 7,483/x
  3. Step 3: Cross multiply
    11,674.75x = 16,111.16 × 7,483
  4. Step 4: Simplify right side
    11,674.75x = 120,559,810.28
  5. Step 5: Solve for x
    x = 120,559,810.28/11,674.75
  6. Step 6: Final answer
    x = 10,326.54

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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.