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Finding the Fourth Proportional to 8,283, 11,440.02 and 5,625.96

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Solution

The fourth proportional to 8,283, 11,440.02 and 5,625.96 is: 7,770.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,283 : 11,440.02 = 5,625.96 : x
  2. Step 2: Convert to fraction form
    8,283/11,440.02 = 5,625.96/x
  3. Step 3: Cross multiply
    8,283x = 11,440.02 × 5,625.96
  4. Step 4: Simplify right side
    8,283x = 64,361,094.92
  5. Step 5: Solve for x
    x = 64,361,094.92/8,283
  6. Step 6: Final answer
    x = 7,770.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.