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Finding the Fourth Proportional to 11,406.69, 15,731.42 and 7,426.35

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Solution

The fourth proportional to 11,406.69, 15,731.42 and 7,426.35 is: 10,241.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,406.69 : 15,731.42 = 7,426.35 : x
  2. Step 2: Convert to fraction form
    11,406.69/15,731.42 = 7,426.35/x
  3. Step 3: Cross multiply
    11,406.69x = 15,731.42 × 7,426.35
  4. Step 4: Simplify right side
    11,406.69x = 116,826,993.79
  5. Step 5: Solve for x
    x = 116,826,993.79/11,406.69
  6. Step 6: Final answer
    x = 10,241.97

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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.