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Finding the Fourth Proportional to 8,446.89, 11,656.36 and 4,669.81

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Solution

The fourth proportional to 8,446.89, 11,656.36 and 4,669.81 is: 6,444.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,446.89 : 11,656.36 = 4,669.81 : x
  2. Step 2: Convert to fraction form
    8,446.89/11,656.36 = 4,669.81/x
  3. Step 3: Cross multiply
    8,446.89x = 11,656.36 × 4,669.81
  4. Step 4: Simplify right side
    8,446.89x = 54,432,974.82
  5. Step 5: Solve for x
    x = 54,432,974.82/8,446.89
  6. Step 6: Final answer
    x = 6,444.15

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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.