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Finding the Fourth Proportional to 7,881, 11,825.25 and 4,918.64

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Solution

The fourth proportional to 7,881, 11,825.25 and 4,918.64 is: 7,380.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,881 : 11,825.25 = 4,918.64 : x
  2. Step 2: Convert to fraction form
    7,881/11,825.25 = 4,918.64/x
  3. Step 3: Cross multiply
    7,881x = 11,825.25 × 4,918.64
  4. Step 4: Simplify right side
    7,881x = 58,164,088.53
  5. Step 5: Solve for x
    x = 58,164,088.53/7,881
  6. Step 6: Final answer
    x = 7,380.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.