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Finding the Fourth Proportional to 8,992.46, 12,411.16 and 5,638.16

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Solution

The fourth proportional to 8,992.46, 12,411.16 and 5,638.16 is: 7,781.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,992.46 : 12,411.16 = 5,638.16 : x
  2. Step 2: Convert to fraction form
    8,992.46/12,411.16 = 5,638.16/x
  3. Step 3: Cross multiply
    8,992.46x = 12,411.16 × 5,638.16
  4. Step 4: Simplify right side
    8,992.46x = 69,976,105.87
  5. Step 5: Solve for x
    x = 69,976,105.87/8,992.46
  6. Step 6: Final answer
    x = 7,781.64

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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.