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Finding the Fourth Proportional to 8,077.62, 11,147.79 and 4,492.94

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Solution

The fourth proportional to 8,077.62, 11,147.79 and 4,492.94 is: 6,200.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,077.62 : 11,147.79 = 4,492.94 : x
  2. Step 2: Convert to fraction form
    8,077.62/11,147.79 = 4,492.94/x
  3. Step 3: Cross multiply
    8,077.62x = 11,147.79 × 4,492.94
  4. Step 4: Simplify right side
    8,077.62x = 50,086,312.71
  5. Step 5: Solve for x
    x = 50,086,312.71/8,077.62
  6. Step 6: Final answer
    x = 6,200.62

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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.