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Finding the Fourth Proportional to 8,411.05, 11,606.69 and 5,054

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Solution

The fourth proportional to 8,411.05, 11,606.69 and 5,054 is: 6,974.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,411.05 : 11,606.69 = 5,054 : x
  2. Step 2: Convert to fraction form
    8,411.05/11,606.69 = 5,054/x
  3. Step 3: Cross multiply
    8,411.05x = 11,606.69 × 5,054
  4. Step 4: Simplify right side
    8,411.05x = 58,660,185.99
  5. Step 5: Solve for x
    x = 58,660,185.99/8,411.05
  6. Step 6: Final answer
    x = 6,974.19

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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.