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Finding the Fourth Proportional to 11,406.70, 15,732.21 and 6,930.33

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Solution

The fourth proportional to 11,406.70, 15,732.21 and 6,930.33 is: 9,558.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,406.70 : 15,732.21 = 6,930.33 : x
  2. Step 2: Convert to fraction form
    11,406.70/15,732.21 = 6,930.33/x
  3. Step 3: Cross multiply
    11,406.70x = 15,732.21 × 6,930.33
  4. Step 4: Simplify right side
    11,406.70x = 109,029,406.93
  5. Step 5: Solve for x
    x = 109,029,406.93/11,406.70
  6. Step 6: Final answer
    x = 9,558.37

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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.