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Finding the Fourth Proportional to 12,106.99, 16,707.63 and 6,729.40

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Solution

The fourth proportional to 12,106.99, 16,707.63 and 6,729.40 is: 9,286.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,106.99 : 16,707.63 = 6,729.40 : x
  2. Step 2: Convert to fraction form
    12,106.99/16,707.63 = 6,729.40/x
  3. Step 3: Cross multiply
    12,106.99x = 16,707.63 × 6,729.40
  4. Step 4: Simplify right side
    12,106.99x = 112,432,325.32
  5. Step 5: Solve for x
    x = 112,432,325.32/12,106.99
  6. Step 6: Final answer
    x = 9,286.56

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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.