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Finding the Fourth Proportional to 7,702.73, 10,629.80 and 4,299.89

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Solution

The fourth proportional to 7,702.73, 10,629.80 and 4,299.89 is: 5,933.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,702.73 : 10,629.80 = 4,299.89 : x
  2. Step 2: Convert to fraction form
    7,702.73/10,629.80 = 4,299.89/x
  3. Step 3: Cross multiply
    7,702.73x = 10,629.80 × 4,299.89
  4. Step 4: Simplify right side
    7,702.73x = 45,707,008.05
  5. Step 5: Solve for x
    x = 45,707,008.05/7,702.73
  6. Step 6: Final answer
    x = 5,933.88

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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.