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Finding the Fourth Proportional to 6,956.33, 10,434.52 and 2,026.09

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Solution

The fourth proportional to 6,956.33, 10,434.52 and 2,026.09 is: 3,039.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,956.33 : 10,434.52 = 2,026.09 : x
  2. Step 2: Convert to fraction form
    6,956.33/10,434.52 = 2,026.09/x
  3. Step 3: Cross multiply
    6,956.33x = 10,434.52 × 2,026.09
  4. Step 4: Simplify right side
    6,956.33x = 21,141,280.81
  5. Step 5: Solve for x
    x = 21,141,280.81/6,956.33
  6. Step 6: Final answer
    x = 3,039.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.