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Finding the Fourth Proportional to 8,271, 11,412.18 and 4,914.94

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Solution

The fourth proportional to 8,271, 11,412.18 and 4,914.94 is: 6,781.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,271 : 11,412.18 = 4,914.94 : x
  2. Step 2: Convert to fraction form
    8,271/11,412.18 = 4,914.94/x
  3. Step 3: Cross multiply
    8,271x = 11,412.18 × 4,914.94
  4. Step 4: Simplify right side
    8,271x = 56,090,179.97
  5. Step 5: Solve for x
    x = 56,090,179.97/8,271
  6. Step 6: Final answer
    x = 6,781.55

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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.