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Finding the Fourth Proportional to 12,180.75, 16,810.16 and 6,803.19

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Solution

The fourth proportional to 12,180.75, 16,810.16 and 6,803.19 is: 9,388.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,180.75 : 16,810.16 = 6,803.19 : x
  2. Step 2: Convert to fraction form
    12,180.75/16,810.16 = 6,803.19/x
  3. Step 3: Cross multiply
    12,180.75x = 16,810.16 × 6,803.19
  4. Step 4: Simplify right side
    12,180.75x = 114,362,712.41
  5. Step 5: Solve for x
    x = 114,362,712.41/12,180.75
  6. Step 6: Final answer
    x = 9,388.81

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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.