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Finding the Fourth Proportional to 8,705.12, 13,052.21 and 3,771

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Solution

The fourth proportional to 8,705.12, 13,052.21 and 3,771 is: 5,654.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,705.12 : 13,052.21 = 3,771 : x
  2. Step 2: Convert to fraction form
    8,705.12/13,052.21 = 3,771/x
  3. Step 3: Cross multiply
    8,705.12x = 13,052.21 × 3,771
  4. Step 4: Simplify right side
    8,705.12x = 49,219,865.06
  5. Step 5: Solve for x
    x = 49,219,865.06/8,705.12
  6. Step 6: Final answer
    x = 5,654.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.