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Finding the Fourth Proportional to 7,556.16, 11,337.66 and 3,856.50

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Solution

The fourth proportional to 7,556.16, 11,337.66 and 3,856.50 is: 5,786.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,556.16 : 11,337.66 = 3,856.50 : x
  2. Step 2: Convert to fraction form
    7,556.16/11,337.66 = 3,856.50/x
  3. Step 3: Cross multiply
    7,556.16x = 11,337.66 × 3,856.50
  4. Step 4: Simplify right side
    7,556.16x = 43,723,685.79
  5. Step 5: Solve for x
    x = 43,723,685.79/7,556.16
  6. Step 6: Final answer
    x = 5,786.50

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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.