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Finding the Fourth Proportional to 7,702.33, 10,629.24 and 4,165.56

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Solution

The fourth proportional to 7,702.33, 10,629.24 and 4,165.56 is: 5,748.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,702.33 : 10,629.24 = 4,165.56 : x
  2. Step 2: Convert to fraction form
    7,702.33/10,629.24 = 4,165.56/x
  3. Step 3: Cross multiply
    7,702.33x = 10,629.24 × 4,165.56
  4. Step 4: Simplify right side
    7,702.33x = 44,276,736.97
  5. Step 5: Solve for x
    x = 44,276,736.97/7,702.33
  6. Step 6: Final answer
    x = 5,748.49

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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.