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Finding the Fourth Proportional to 8,165.52, 12,230.04 and 6,303

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Solution

The fourth proportional to 8,165.52, 12,230.04 and 6,303 is: 9,440.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,165.52 : 12,230.04 = 6,303 : x
  2. Step 2: Convert to fraction form
    8,165.52/12,230.04 = 6,303/x
  3. Step 3: Cross multiply
    8,165.52x = 12,230.04 × 6,303
  4. Step 4: Simplify right side
    8,165.52x = 77,085,942.12
  5. Step 5: Solve for x
    x = 77,085,942.12/8,165.52
  6. Step 6: Final answer
    x = 9,440.42

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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.