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Finding the Fourth Proportional to 8,177.49, 11,263.43 and 6,285.45

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Solution

The fourth proportional to 8,177.49, 11,263.43 and 6,285.45 is: 8,657.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,177.49 : 11,263.43 = 6,285.45 : x
  2. Step 2: Convert to fraction form
    8,177.49/11,263.43 = 6,285.45/x
  3. Step 3: Cross multiply
    8,177.49x = 11,263.43 × 6,285.45
  4. Step 4: Simplify right side
    8,177.49x = 70,795,694.67
  5. Step 5: Solve for x
    x = 70,795,694.67/8,177.49
  6. Step 6: Final answer
    x = 8,657.39

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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.