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Finding the Fourth Proportional to 8,486.37, 11,708.15 and 4,760.37

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Solution

The fourth proportional to 8,486.37, 11,708.15 and 4,760.37 is: 6,567.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,486.37 : 11,708.15 = 4,760.37 : x
  2. Step 2: Convert to fraction form
    8,486.37/11,708.15 = 4,760.37/x
  3. Step 3: Cross multiply
    8,486.37x = 11,708.15 × 4,760.37
  4. Step 4: Simplify right side
    8,486.37x = 55,735,102.21
  5. Step 5: Solve for x
    x = 55,735,102.21/8,486.37
  6. Step 6: Final answer
    x = 6,567.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.