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Finding the Fourth Proportional to 8,285.69, 11,436.19 and 4,748.83

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Solution

The fourth proportional to 8,285.69, 11,436.19 and 4,748.83 is: 6,554.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,285.69 : 11,436.19 = 4,748.83 : x
  2. Step 2: Convert to fraction form
    8,285.69/11,436.19 = 4,748.83/x
  3. Step 3: Cross multiply
    8,285.69x = 11,436.19 × 4,748.83
  4. Step 4: Simplify right side
    8,285.69x = 54,308,481.70
  5. Step 5: Solve for x
    x = 54,308,481.70/8,285.69
  6. Step 6: Final answer
    x = 6,554.49

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