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Finding the Fourth Proportional to 8,179, 11,274.12 and 5,341.36

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Solution

The fourth proportional to 8,179, 11,274.12 and 5,341.36 is: 7,362.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,179 : 11,274.12 = 5,341.36 : x
  2. Step 2: Convert to fraction form
    8,179/11,274.12 = 5,341.36/x
  3. Step 3: Cross multiply
    8,179x = 11,274.12 × 5,341.36
  4. Step 4: Simplify right side
    8,179x = 60,219,133.60
  5. Step 5: Solve for x
    x = 60,219,133.60/8,179
  6. Step 6: Final answer
    x = 7,362.65

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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.