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Finding the Fourth Proportional to 7,806.08, 11,710.20 and 3,188

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Solution

The fourth proportional to 7,806.08, 11,710.20 and 3,188 is: 4,782.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806.08 : 11,710.20 = 3,188 : x
  2. Step 2: Convert to fraction form
    7,806.08/11,710.20 = 3,188/x
  3. Step 3: Cross multiply
    7,806.08x = 11,710.20 × 3,188
  4. Step 4: Simplify right side
    7,806.08x = 37,332,117.60
  5. Step 5: Solve for x
    x = 37,332,117.60/7,806.08
  6. Step 6: Final answer
    x = 4,782.44

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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.