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Finding the Fourth Proportional to 8,242.16, 12,363 and 3,310.48

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Solution

The fourth proportional to 8,242.16, 12,363 and 3,310.48 is: 4,965.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,242.16 : 12,363 = 3,310.48 : x
  2. Step 2: Convert to fraction form
    8,242.16/12,363 = 3,310.48/x
  3. Step 3: Cross multiply
    8,242.16x = 12,363 × 3,310.48
  4. Step 4: Simplify right side
    8,242.16x = 40,927,464.24
  5. Step 5: Solve for x
    x = 40,927,464.24/8,242.16
  6. Step 6: Final answer
    x = 4,965.62

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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.