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Finding the Fourth Proportional to 8,650.82, 12,977.13 and 3,970.03

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Solution

The fourth proportional to 8,650.82, 12,977.13 and 3,970.03 is: 5,955.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,650.82 : 12,977.13 = 3,970.03 : x
  2. Step 2: Convert to fraction form
    8,650.82/12,977.13 = 3,970.03/x
  3. Step 3: Cross multiply
    8,650.82x = 12,977.13 × 3,970.03
  4. Step 4: Simplify right side
    8,650.82x = 51,519,530.53
  5. Step 5: Solve for x
    x = 51,519,530.53/8,650.82
  6. Step 6: Final answer
    x = 5,955.45

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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.