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Finding the Fourth Proportional to 7,280.31, 10,046.53 and 4,093.52

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Solution

The fourth proportional to 7,280.31, 10,046.53 and 4,093.52 is: 5,648.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,280.31 : 10,046.53 = 4,093.52 : x
  2. Step 2: Convert to fraction form
    7,280.31/10,046.53 = 4,093.52/x
  3. Step 3: Cross multiply
    7,280.31x = 10,046.53 × 4,093.52
  4. Step 4: Simplify right side
    7,280.31x = 41,125,621.25
  5. Step 5: Solve for x
    x = 41,125,621.25/7,280.31
  6. Step 6: Final answer
    x = 5,648.88

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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.