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Finding the Fourth Proportional to 7,896.76, 11,833.62 and 5,710.12

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Solution

The fourth proportional to 7,896.76, 11,833.62 and 5,710.12 is: 8,556.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,896.76 : 11,833.62 = 5,710.12 : x
  2. Step 2: Convert to fraction form
    7,896.76/11,833.62 = 5,710.12/x
  3. Step 3: Cross multiply
    7,896.76x = 11,833.62 × 5,710.12
  4. Step 4: Simplify right side
    7,896.76x = 67,571,390.23
  5. Step 5: Solve for x
    x = 67,571,390.23/7,896.76
  6. Step 6: Final answer
    x = 8,556.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.