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Finding the Fourth Proportional to 7,863.60, 11,796.66 and 2,597.12

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Solution

The fourth proportional to 7,863.60, 11,796.66 and 2,597.12 is: 3,896.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,863.60 : 11,796.66 = 2,597.12 : x
  2. Step 2: Convert to fraction form
    7,863.60/11,796.66 = 2,597.12/x
  3. Step 3: Cross multiply
    7,863.60x = 11,796.66 × 2,597.12
  4. Step 4: Simplify right side
    7,863.60x = 30,637,341.62
  5. Step 5: Solve for x
    x = 30,637,341.62/7,863.60
  6. Step 6: Final answer
    x = 3,896.10

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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.