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Finding the Fourth Proportional to 8,218.68, 11,341.74 and 4,492.44

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Solution

The fourth proportional to 8,218.68, 11,341.74 and 4,492.44 is: 6,199.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,218.68 : 11,341.74 = 4,492.44 : x
  2. Step 2: Convert to fraction form
    8,218.68/11,341.74 = 4,492.44/x
  3. Step 3: Cross multiply
    8,218.68x = 11,341.74 × 4,492.44
  4. Step 4: Simplify right side
    8,218.68x = 50,952,086.45
  5. Step 5: Solve for x
    x = 50,952,086.45/8,218.68
  6. Step 6: Final answer
    x = 6,199.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.