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Finding the Fourth Proportional to 7,808.16, 11,716.85 and 2,881.24

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Solution

The fourth proportional to 7,808.16, 11,716.85 and 2,881.24 is: 4,323.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,808.16 : 11,716.85 = 2,881.24 : x
  2. Step 2: Convert to fraction form
    7,808.16/11,716.85 = 2,881.24/x
  3. Step 3: Cross multiply
    7,808.16x = 11,716.85 × 2,881.24
  4. Step 4: Simplify right side
    7,808.16x = 33,759,056.89
  5. Step 5: Solve for x
    x = 33,759,056.89/7,808.16
  6. Step 6: Final answer
    x = 4,323.56

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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.