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Finding the Fourth Proportional to 8,457.82, 11,672.44 and 4,920.75

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Solution

The fourth proportional to 8,457.82, 11,672.44 and 4,920.75 is: 6,791.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,457.82 : 11,672.44 = 4,920.75 : x
  2. Step 2: Convert to fraction form
    8,457.82/11,672.44 = 4,920.75/x
  3. Step 3: Cross multiply
    8,457.82x = 11,672.44 × 4,920.75
  4. Step 4: Simplify right side
    8,457.82x = 57,437,146.83
  5. Step 5: Solve for x
    x = 57,437,146.83/8,457.82
  6. Step 6: Final answer
    x = 6,791.01

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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.