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Finding the Fourth Proportional to 7,812.96, 11,720.16 and 2,266.08

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Solution

The fourth proportional to 7,812.96, 11,720.16 and 2,266.08 is: 3,399.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,812.96 : 11,720.16 = 2,266.08 : x
  2. Step 2: Convert to fraction form
    7,812.96/11,720.16 = 2,266.08/x
  3. Step 3: Cross multiply
    7,812.96x = 11,720.16 × 2,266.08
  4. Step 4: Simplify right side
    7,812.96x = 26,558,820.17
  5. Step 5: Solve for x
    x = 26,558,820.17/7,812.96
  6. Step 6: Final answer
    x = 3,399.33

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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.