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Finding the Fourth Proportional to 7,812.08, 11,716.32 and 2,264.20

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Solution

The fourth proportional to 7,812.08, 11,716.32 and 2,264.20 is: 3,395.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,812.08 : 11,716.32 = 2,264.20 : x
  2. Step 2: Convert to fraction form
    7,812.08/11,716.32 = 2,264.20/x
  3. Step 3: Cross multiply
    7,812.08x = 11,716.32 × 2,264.20
  4. Step 4: Simplify right side
    7,812.08x = 26,528,091.74
  5. Step 5: Solve for x
    x = 26,528,091.74/7,812.08
  6. Step 6: Final answer
    x = 3,395.78

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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.