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Finding the Fourth Proportional to 8,077.43, 11,146.80 and 4,492.42

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Solution

The fourth proportional to 8,077.43, 11,146.80 and 4,492.42 is: 6,199.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,077.43 : 11,146.80 = 4,492.42 : x
  2. Step 2: Convert to fraction form
    8,077.43/11,146.80 = 4,492.42/x
  3. Step 3: Cross multiply
    8,077.43x = 11,146.80 × 4,492.42
  4. Step 4: Simplify right side
    8,077.43x = 50,076,112.66
  5. Step 5: Solve for x
    x = 50,076,112.66/8,077.43
  6. Step 6: Final answer
    x = 6,199.51

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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.