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Finding the Fourth Proportional to 8,438.90, 11,643.81 and 4,900.82

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Solution

The fourth proportional to 8,438.90, 11,643.81 and 4,900.82 is: 6,762.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,438.90 : 11,643.81 = 4,900.82 : x
  2. Step 2: Convert to fraction form
    8,438.90/11,643.81 = 4,900.82/x
  3. Step 3: Cross multiply
    8,438.90x = 11,643.81 × 4,900.82
  4. Step 4: Simplify right side
    8,438.90x = 57,064,216.92
  5. Step 5: Solve for x
    x = 57,064,216.92/8,438.90
  6. Step 6: Final answer
    x = 6,762.04

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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.