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Finding the Fourth Proportional to 8,438.93, 11,645.76 and 4,610.61

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Solution

The fourth proportional to 8,438.93, 11,645.76 and 4,610.61 is: 6,362.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,438.93 : 11,645.76 = 4,610.61 : x
  2. Step 2: Convert to fraction form
    8,438.93/11,645.76 = 4,610.61/x
  3. Step 3: Cross multiply
    8,438.93x = 11,645.76 × 4,610.61
  4. Step 4: Simplify right side
    8,438.93x = 53,694,057.51
  5. Step 5: Solve for x
    x = 53,694,057.51/8,438.93
  6. Step 6: Final answer
    x = 6,362.67

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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.