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Finding the Fourth Proportional to 8,269.92, 11,412.24 and 4,492.86

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Solution

The fourth proportional to 8,269.92, 11,412.24 and 4,492.86 is: 6,200.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,269.92 : 11,412.24 = 4,492.86 : x
  2. Step 2: Convert to fraction form
    8,269.92/11,412.24 = 4,492.86/x
  3. Step 3: Cross multiply
    8,269.92x = 11,412.24 × 4,492.86
  4. Step 4: Simplify right side
    8,269.92x = 51,273,596.61
  5. Step 5: Solve for x
    x = 51,273,596.61/8,269.92
  6. Step 6: Final answer
    x = 6,200.01

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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.