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Finding the Fourth Proportional to 8,077.62, 11,146.92 and 4,492.57

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Solution

The fourth proportional to 8,077.62, 11,146.92 and 4,492.57 is: 6,199.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,077.62 : 11,146.92 = 4,492.57 : x
  2. Step 2: Convert to fraction form
    8,077.62/11,146.92 = 4,492.57/x
  3. Step 3: Cross multiply
    8,077.62x = 11,146.92 × 4,492.57
  4. Step 4: Simplify right side
    8,077.62x = 50,078,330.02
  5. Step 5: Solve for x
    x = 50,078,330.02/8,077.62
  6. Step 6: Final answer
    x = 6,199.64

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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.