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Finding the Fourth Proportional to 8,077.37, 11,146.74 and 4,492.20

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Solution

The fourth proportional to 8,077.37, 11,146.74 and 4,492.20 is: 6,199.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,077.37 : 11,146.74 = 4,492.20 : x
  2. Step 2: Convert to fraction form
    8,077.37/11,146.74 = 4,492.20/x
  3. Step 3: Cross multiply
    8,077.37x = 11,146.74 × 4,492.20
  4. Step 4: Simplify right side
    8,077.37x = 50,073,385.43
  5. Step 5: Solve for x
    x = 50,073,385.43/8,077.37
  6. Step 6: Final answer
    x = 6,199.22

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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.