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Finding the Fourth Proportional to 7,145.42, 9,856.08 and 5,152.82

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Solution

The fourth proportional to 7,145.42, 9,856.08 and 5,152.82 is: 7,107.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,145.42 : 9,856.08 = 5,152.82 : x
  2. Step 2: Convert to fraction form
    7,145.42/9,856.08 = 5,152.82/x
  3. Step 3: Cross multiply
    7,145.42x = 9,856.08 × 5,152.82
  4. Step 4: Simplify right side
    7,145.42x = 50,786,556.87
  5. Step 5: Solve for x
    x = 50,786,556.87/7,145.42
  6. Step 6: Final answer
    x = 7,107.57

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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.