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Finding the Fourth Proportional to 8,975.04, 12,395.96 and 5,986

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Solution

The fourth proportional to 8,975.04, 12,395.96 and 5,986 is: 8,267.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,975.04 : 12,395.96 = 5,986 : x
  2. Step 2: Convert to fraction form
    8,975.04/12,395.96 = 5,986/x
  3. Step 3: Cross multiply
    8,975.04x = 12,395.96 × 5,986
  4. Step 4: Simplify right side
    8,975.04x = 74,202,216.56
  5. Step 5: Solve for x
    x = 74,202,216.56/8,975.04
  6. Step 6: Final answer
    x = 8,267.62

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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.