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Finding the Fourth Proportional to 7,877.25, 11,817.81 and 2,405.25

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Solution

The fourth proportional to 7,877.25, 11,817.81 and 2,405.25 is: 3,608.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,877.25 : 11,817.81 = 2,405.25 : x
  2. Step 2: Convert to fraction form
    7,877.25/11,817.81 = 2,405.25/x
  3. Step 3: Cross multiply
    7,877.25x = 11,817.81 × 2,405.25
  4. Step 4: Simplify right side
    7,877.25x = 28,424,787.50
  5. Step 5: Solve for x
    x = 28,424,787.50/7,877.25
  6. Step 6: Final answer
    x = 3,608.47

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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.