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Finding the Fourth Proportional to 7,296.57, 10,069.26 and 4,152.75

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Solution

The fourth proportional to 7,296.57, 10,069.26 and 4,152.75 is: 5,730.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,296.57 : 10,069.26 = 4,152.75 : x
  2. Step 2: Convert to fraction form
    7,296.57/10,069.26 = 4,152.75/x
  3. Step 3: Cross multiply
    7,296.57x = 10,069.26 × 4,152.75
  4. Step 4: Simplify right side
    7,296.57x = 41,815,119.47
  5. Step 5: Solve for x
    x = 41,815,119.47/7,296.57
  6. Step 6: Final answer
    x = 5,730.79

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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.