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Finding the Fourth Proportional to 7,800.25, 11,696.73 and 2,602.48

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Solution

The fourth proportional to 7,800.25, 11,696.73 and 2,602.48 is: 3,902.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,800.25 : 11,696.73 = 2,602.48 : x
  2. Step 2: Convert to fraction form
    7,800.25/11,696.73 = 2,602.48/x
  3. Step 3: Cross multiply
    7,800.25x = 11,696.73 × 2,602.48
  4. Step 4: Simplify right side
    7,800.25x = 30,440,505.89
  5. Step 5: Solve for x
    x = 30,440,505.89/7,800.25
  6. Step 6: Final answer
    x = 3,902.50

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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.