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Finding the Fourth Proportional to 12,185.79, 16,816.26 and 6,880.83

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Solution

The fourth proportional to 12,185.79, 16,816.26 and 6,880.83 is: 9,495.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,185.79 : 16,816.26 = 6,880.83 : x
  2. Step 2: Convert to fraction form
    12,185.79/16,816.26 = 6,880.83/x
  3. Step 3: Cross multiply
    12,185.79x = 16,816.26 × 6,880.83
  4. Step 4: Simplify right side
    12,185.79x = 115,709,826.30
  5. Step 5: Solve for x
    x = 115,709,826.30/12,185.79
  6. Step 6: Final answer
    x = 9,495.47

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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.