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Finding the Fourth Proportional to 8,489.75, 11,715.29 and 4,712.73

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Solution

The fourth proportional to 8,489.75, 11,715.29 and 4,712.73 is: 6,503.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,489.75 : 11,715.29 = 4,712.73 : x
  2. Step 2: Convert to fraction form
    8,489.75/11,715.29 = 4,712.73/x
  3. Step 3: Cross multiply
    8,489.75x = 11,715.29 × 4,712.73
  4. Step 4: Simplify right side
    8,489.75x = 55,210,998.64
  5. Step 5: Solve for x
    x = 55,210,998.64/8,489.75
  6. Step 6: Final answer
    x = 6,503.25

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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.