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Finding the Fourth Proportional to 12,546.16, 17,313.92 and 6,880.82

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Solution

The fourth proportional to 12,546.16, 17,313.92 and 6,880.82 is: 9,495.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,546.16 : 17,313.92 = 6,880.82 : x
  2. Step 2: Convert to fraction form
    12,546.16/17,313.92 = 6,880.82/x
  3. Step 3: Cross multiply
    12,546.16x = 17,313.92 × 6,880.82
  4. Step 4: Simplify right side
    12,546.16x = 119,133,871.84
  5. Step 5: Solve for x
    x = 119,133,871.84/12,546.16
  6. Step 6: Final answer
    x = 9,495.65

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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.