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Finding the Fourth Proportional to 8,269.37, 11,411.86 and 4,492.61

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Solution

The fourth proportional to 8,269.37, 11,411.86 and 4,492.61 is: 6,199.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,269.37 : 11,411.86 = 4,492.61 : x
  2. Step 2: Convert to fraction form
    8,269.37/11,411.86 = 4,492.61/x
  3. Step 3: Cross multiply
    8,269.37x = 11,411.86 × 4,492.61
  4. Step 4: Simplify right side
    8,269.37x = 51,269,036.35
  5. Step 5: Solve for x
    x = 51,269,036.35/8,269.37
  6. Step 6: Final answer
    x = 6,199.87

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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.