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Finding the Fourth Proportional to 7,504.87, 10,357.00 and 4,147.82

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Solution

The fourth proportional to 7,504.87, 10,357.00 and 4,147.82 is: 5,724.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,504.87 : 10,357.00 = 4,147.82 : x
  2. Step 2: Convert to fraction form
    7,504.87/10,357.00 = 4,147.82/x
  3. Step 3: Cross multiply
    7,504.87x = 10,357.00 × 4,147.82
  4. Step 4: Simplify right side
    7,504.87x = 42,958,951.00
  5. Step 5: Solve for x
    x = 42,958,951.00/7,504.87
  6. Step 6: Final answer
    x = 5,724.15

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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.