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Finding the Fourth Proportional to 7,880.92, 11,825.03 and 3,204.14

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Solution

The fourth proportional to 7,880.92, 11,825.03 and 3,204.14 is: 4,807.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,880.92 : 11,825.03 = 3,204.14 : x
  2. Step 2: Convert to fraction form
    7,880.92/11,825.03 = 3,204.14/x
  3. Step 3: Cross multiply
    7,880.92x = 11,825.03 × 3,204.14
  4. Step 4: Simplify right side
    7,880.92x = 37,889,000.51
  5. Step 5: Solve for x
    x = 37,889,000.51/7,880.92
  6. Step 6: Final answer
    x = 4,807.69

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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.