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Finding the Fourth Proportional to 10,265.20, 15,376.20 and 8,537.20

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Solution

The fourth proportional to 10,265.20, 15,376.20 and 8,537.20 is: 12,787.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,265.20 : 15,376.20 = 8,537.20 : x
  2. Step 2: Convert to fraction form
    10,265.20/15,376.20 = 8,537.20/x
  3. Step 3: Cross multiply
    10,265.20x = 15,376.20 × 8,537.20
  4. Step 4: Simplify right side
    10,265.20x = 131,269,694.64
  5. Step 5: Solve for x
    x = 131,269,694.64/10,265.20
  6. Step 6: Final answer
    x = 12,787.84

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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.