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Finding the Fourth Proportional to 8,972.89, 13,461.59 and 5,278.21

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Solution

The fourth proportional to 8,972.89, 13,461.59 and 5,278.21 is: 7,918.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,972.89 : 13,461.59 = 5,278.21 : x
  2. Step 2: Convert to fraction form
    8,972.89/13,461.59 = 5,278.21/x
  3. Step 3: Cross multiply
    8,972.89x = 13,461.59 × 5,278.21
  4. Step 4: Simplify right side
    8,972.89x = 71,053,072.56
  5. Step 5: Solve for x
    x = 71,053,072.56/8,972.89
  6. Step 6: Final answer
    x = 7,918.64

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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.