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Finding the Fourth Proportional to 7,813.51, 11,722.08 and 2,266.96

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Solution

The fourth proportional to 7,813.51, 11,722.08 and 2,266.96 is: 3,400.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,813.51 : 11,722.08 = 2,266.96 : x
  2. Step 2: Convert to fraction form
    7,813.51/11,722.08 = 2,266.96/x
  3. Step 3: Cross multiply
    7,813.51x = 11,722.08 × 2,266.96
  4. Step 4: Simplify right side
    7,813.51x = 26,573,486.48
  5. Step 5: Solve for x
    x = 26,573,486.48/7,813.51
  6. Step 6: Final answer
    x = 3,400.97

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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.