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Finding the Fourth Proportional to 12,107.49, 16,708.32 and 6,729.90

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Solution

The fourth proportional to 12,107.49, 16,708.32 and 6,729.90 is: 9,287.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,107.49 : 16,708.32 = 6,729.90 : x
  2. Step 2: Convert to fraction form
    12,107.49/16,708.32 = 6,729.90/x
  3. Step 3: Cross multiply
    12,107.49x = 16,708.32 × 6,729.90
  4. Step 4: Simplify right side
    12,107.49x = 112,445,322.77
  5. Step 5: Solve for x
    x = 112,445,322.77/12,107.49
  6. Step 6: Final answer
    x = 9,287.25

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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.