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Finding the Fourth Proportional to 8,362.52, 12,585.68 and 6,293.24

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Solution

The fourth proportional to 8,362.52, 12,585.68 and 6,293.24 is: 9,471.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,362.52 : 12,585.68 = 6,293.24 : x
  2. Step 2: Convert to fraction form
    8,362.52/12,585.68 = 6,293.24/x
  3. Step 3: Cross multiply
    8,362.52x = 12,585.68 × 6,293.24
  4. Step 4: Simplify right side
    8,362.52x = 79,204,704.80
  5. Step 5: Solve for x
    x = 79,204,704.80/8,362.52
  6. Step 6: Final answer
    x = 9,471.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.