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Finding the Fourth Proportional to 12,185.72, 16,816.02 and 6,880.40

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Solution

The fourth proportional to 12,185.72, 16,816.02 and 6,880.40 is: 9,494.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,185.72 : 16,816.02 = 6,880.40 : x
  2. Step 2: Convert to fraction form
    12,185.72/16,816.02 = 6,880.40/x
  3. Step 3: Cross multiply
    12,185.72x = 16,816.02 × 6,880.40
  4. Step 4: Simplify right side
    12,185.72x = 115,700,944.01
  5. Step 5: Solve for x
    x = 115,700,944.01/12,185.72
  6. Step 6: Final answer
    x = 9,494.80

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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.