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Finding the Fourth Proportional to 8,438.30, 11,642.86 and 4,899.41

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Solution

The fourth proportional to 8,438.30, 11,642.86 and 4,899.41 is: 6,760.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,438.30 : 11,642.86 = 4,899.41 : x
  2. Step 2: Convert to fraction form
    8,438.30/11,642.86 = 4,899.41/x
  3. Step 3: Cross multiply
    8,438.30x = 11,642.86 × 4,899.41
  4. Step 4: Simplify right side
    8,438.30x = 57,043,144.71
  5. Step 5: Solve for x
    x = 57,043,144.71/8,438.30
  6. Step 6: Final answer
    x = 6,760.03

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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.