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Finding the Fourth Proportional to 12,176.06, 16,802.03 and 6,871.37

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Solution

The fourth proportional to 12,176.06, 16,802.03 and 6,871.37 is: 9,481.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,176.06 : 16,802.03 = 6,871.37 : x
  2. Step 2: Convert to fraction form
    12,176.06/16,802.03 = 6,871.37/x
  3. Step 3: Cross multiply
    12,176.06x = 16,802.03 × 6,871.37
  4. Step 4: Simplify right side
    12,176.06x = 115,452,880.87
  5. Step 5: Solve for x
    x = 115,452,880.87/12,176.06
  6. Step 6: Final answer
    x = 9,481.96

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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.