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Finding the Fourth Proportional to 8,447.30, 11,657.72 and 5,091.17

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Solution

The fourth proportional to 8,447.30, 11,657.72 and 5,091.17 is: 7,026.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,447.30 : 11,657.72 = 5,091.17 : x
  2. Step 2: Convert to fraction form
    8,447.30/11,657.72 = 5,091.17/x
  3. Step 3: Cross multiply
    8,447.30x = 11,657.72 × 5,091.17
  4. Step 4: Simplify right side
    8,447.30x = 59,351,434.33
  5. Step 5: Solve for x
    x = 59,351,434.33/8,447.30
  6. Step 6: Final answer
    x = 7,026.08

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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.