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Finding the Fourth Proportional to 7,702.31, 10,629.20 and 4,165.52

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Solution

The fourth proportional to 7,702.31, 10,629.20 and 4,165.52 is: 5,748.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,702.31 : 10,629.20 = 4,165.52 : x
  2. Step 2: Convert to fraction form
    7,702.31/10,629.20 = 4,165.52/x
  3. Step 3: Cross multiply
    7,702.31x = 10,629.20 × 4,165.52
  4. Step 4: Simplify right side
    7,702.31x = 44,276,150.93
  5. Step 5: Solve for x
    x = 44,276,150.93/7,702.31
  6. Step 6: Final answer
    x = 5,748.42

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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.