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Finding the Fourth Proportional to 8,218.94, 11,342.14 and 4,492.94

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Solution

The fourth proportional to 8,218.94, 11,342.14 and 4,492.94 is: 6,200.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,218.94 : 11,342.14 = 4,492.94 : x
  2. Step 2: Convert to fraction form
    8,218.94/11,342.14 = 4,492.94/x
  3. Step 3: Cross multiply
    8,218.94x = 11,342.14 × 4,492.94
  4. Step 4: Simplify right side
    8,218.94x = 50,959,554.49
  5. Step 5: Solve for x
    x = 50,959,554.49/8,218.94
  6. Step 6: Final answer
    x = 6,200.26

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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.