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Finding the Fourth Proportional to 8,269.43, 11,411.91 and 4,492.64

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Solution

The fourth proportional to 8,269.43, 11,411.91 and 4,492.64 is: 6,199.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,269.43 : 11,411.91 = 4,492.64 : x
  2. Step 2: Convert to fraction form
    8,269.43/11,411.91 = 4,492.64/x
  3. Step 3: Cross multiply
    8,269.43x = 11,411.91 × 4,492.64
  4. Step 4: Simplify right side
    8,269.43x = 51,269,603.34
  5. Step 5: Solve for x
    x = 51,269,603.34/8,269.43
  6. Step 6: Final answer
    x = 6,199.90

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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.