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Finding the Fourth Proportional to 8,218.30, 11,341.26 and 4,492.30

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Solution

The fourth proportional to 8,218.30, 11,341.26 and 4,492.30 is: 6,199.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,218.30 : 11,341.26 = 4,492.30 : x
  2. Step 2: Convert to fraction form
    8,218.30/11,341.26 = 4,492.30/x
  3. Step 3: Cross multiply
    8,218.30x = 11,341.26 × 4,492.30
  4. Step 4: Simplify right side
    8,218.30x = 50,948,342.30
  5. Step 5: Solve for x
    x = 50,948,342.30/8,218.30
  6. Step 6: Final answer
    x = 6,199.38

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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.