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Finding the Fourth Proportional to 7,876.32, 11,811.96 and 3,497.64

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Solution

The fourth proportional to 7,876.32, 11,811.96 and 3,497.64 is: 5,245.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,876.32 : 11,811.96 = 3,497.64 : x
  2. Step 2: Convert to fraction form
    7,876.32/11,811.96 = 3,497.64/x
  3. Step 3: Cross multiply
    7,876.32x = 11,811.96 × 3,497.64
  4. Step 4: Simplify right side
    7,876.32x = 41,313,983.77
  5. Step 5: Solve for x
    x = 41,313,983.77/7,876.32
  6. Step 6: Final answer
    x = 5,245.34

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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.