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Finding the Fourth Proportional to 12,119.24, 16,725.87 and 7,085.16

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Solution

The fourth proportional to 12,119.24, 16,725.87 and 7,085.16 is: 9,778.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,119.24 : 16,725.87 = 7,085.16 : x
  2. Step 2: Convert to fraction form
    12,119.24/16,725.87 = 7,085.16/x
  3. Step 3: Cross multiply
    12,119.24x = 16,725.87 × 7,085.16
  4. Step 4: Simplify right side
    12,119.24x = 118,505,465.09
  5. Step 5: Solve for x
    x = 118,505,465.09/12,119.24
  6. Step 6: Final answer
    x = 9,778.29

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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.