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Finding the Fourth Proportional to 8,285.45, 12,490.21 and 7,735.46

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Solution

The fourth proportional to 8,285.45, 12,490.21 and 7,735.46 is: 11,661.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,285.45 : 12,490.21 = 7,735.46 : x
  2. Step 2: Convert to fraction form
    8,285.45/12,490.21 = 7,735.46/x
  3. Step 3: Cross multiply
    8,285.45x = 12,490.21 × 7,735.46
  4. Step 4: Simplify right side
    8,285.45x = 96,617,519.85
  5. Step 5: Solve for x
    x = 96,617,519.85/8,285.45
  6. Step 6: Final answer
    x = 11,661.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.