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Finding the Fourth Proportional to 11,407.78, 15,745.35 and 6,693.58

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Solution

The fourth proportional to 11,407.78, 15,745.35 and 6,693.58 is: 9,238.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,407.78 : 15,745.35 = 6,693.58 : x
  2. Step 2: Convert to fraction form
    11,407.78/15,745.35 = 6,693.58/x
  3. Step 3: Cross multiply
    11,407.78x = 15,745.35 × 6,693.58
  4. Step 4: Simplify right side
    11,407.78x = 105,392,759.85
  5. Step 5: Solve for x
    x = 105,392,759.85/11,407.78
  6. Step 6: Final answer
    x = 9,238.67

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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.