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Finding the Fourth Proportional to 8,448.10, 11,659.96 and 4,911.82

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Solution

The fourth proportional to 8,448.10, 11,659.96 and 4,911.82 is: 6,779.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,448.10 : 11,659.96 = 4,911.82 : x
  2. Step 2: Convert to fraction form
    8,448.10/11,659.96 = 4,911.82/x
  3. Step 3: Cross multiply
    8,448.10x = 11,659.96 × 4,911.82
  4. Step 4: Simplify right side
    8,448.10x = 57,271,624.73
  5. Step 5: Solve for x
    x = 57,271,624.73/8,448.10
  6. Step 6: Final answer
    x = 6,779.23

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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.