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Finding the Fourth Proportional to 8,664.53, 12,986.49 and 3,980.57

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Solution

The fourth proportional to 8,664.53, 12,986.49 and 3,980.57 is: 5,966.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,664.53 : 12,986.49 = 3,980.57 : x
  2. Step 2: Convert to fraction form
    8,664.53/12,986.49 = 3,980.57/x
  3. Step 3: Cross multiply
    8,664.53x = 12,986.49 × 3,980.57
  4. Step 4: Simplify right side
    8,664.53x = 51,693,632.50
  5. Step 5: Solve for x
    x = 51,693,632.50/8,664.53
  6. Step 6: Final answer
    x = 5,966.12

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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.