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Finding the Fourth Proportional to 8,892.38, 12,271.75 and 5,309.44

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Solution

The fourth proportional to 8,892.38, 12,271.75 and 5,309.44 is: 7,327.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,892.38 : 12,271.75 = 5,309.44 : x
  2. Step 2: Convert to fraction form
    8,892.38/12,271.75 = 5,309.44/x
  3. Step 3: Cross multiply
    8,892.38x = 12,271.75 × 5,309.44
  4. Step 4: Simplify right side
    8,892.38x = 65,156,076.37
  5. Step 5: Solve for x
    x = 65,156,076.37/8,892.38
  6. Step 6: Final answer
    x = 7,327.18

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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.