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Finding the Fourth Proportional to 8,438.79, 11,643.75 and 4,900.17

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Solution

The fourth proportional to 8,438.79, 11,643.75 and 4,900.17 is: 6,761.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,438.79 : 11,643.75 = 4,900.17 : x
  2. Step 2: Convert to fraction form
    8,438.79/11,643.75 = 4,900.17/x
  3. Step 3: Cross multiply
    8,438.79x = 11,643.75 × 4,900.17
  4. Step 4: Simplify right side
    8,438.79x = 57,056,354.44
  5. Step 5: Solve for x
    x = 57,056,354.44/8,438.79
  6. Step 6: Final answer
    x = 6,761.20

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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.