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Finding the Fourth Proportional to 12,406.40, 17,120.90 and 6,741.19

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Solution

The fourth proportional to 12,406.40, 17,120.90 and 6,741.19 is: 9,302.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,406.40 : 17,120.90 = 6,741.19 : x
  2. Step 2: Convert to fraction form
    12,406.40/17,120.90 = 6,741.19/x
  3. Step 3: Cross multiply
    12,406.40x = 17,120.90 × 6,741.19
  4. Step 4: Simplify right side
    12,406.40x = 115,415,206.17
  5. Step 5: Solve for x
    x = 115,415,206.17/12,406.40
  6. Step 6: Final answer
    x = 9,302.88

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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.