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Finding the Fourth Proportional to 8,077.41, 11,146.98 and 4,492.66

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Solution

The fourth proportional to 8,077.41, 11,146.98 and 4,492.66 is: 6,199.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,077.41 : 11,146.98 = 4,492.66 : x
  2. Step 2: Convert to fraction form
    8,077.41/11,146.98 = 4,492.66/x
  3. Step 3: Cross multiply
    8,077.41x = 11,146.98 × 4,492.66
  4. Step 4: Simplify right side
    8,077.41x = 50,079,591.17
  5. Step 5: Solve for x
    x = 50,079,591.17/8,077.41
  6. Step 6: Final answer
    x = 6,199.96

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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.