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Finding the Fourth Proportional to 11,438.82, 15,786.90 and 6,904.44

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Solution

The fourth proportional to 11,438.82, 15,786.90 and 6,904.44 is: 9,528.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,438.82 : 15,786.90 = 6,904.44 : x
  2. Step 2: Convert to fraction form
    11,438.82/15,786.90 = 6,904.44/x
  3. Step 3: Cross multiply
    11,438.82x = 15,786.90 × 6,904.44
  4. Step 4: Simplify right side
    11,438.82x = 108,999,703.84
  5. Step 5: Solve for x
    x = 108,999,703.84/11,438.82
  6. Step 6: Final answer
    x = 9,528.93

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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.