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Finding the Fourth Proportional to 10,280.67, 15,423.43 and 3,261

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Solution

The fourth proportional to 10,280.67, 15,423.43 and 3,261 is: 4,892.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,280.67 : 15,423.43 = 3,261 : x
  2. Step 2: Convert to fraction form
    10,280.67/15,423.43 = 3,261/x
  3. Step 3: Cross multiply
    10,280.67x = 15,423.43 × 3,261
  4. Step 4: Simplify right side
    10,280.67x = 50,295,805.23
  5. Step 5: Solve for x
    x = 50,295,805.23/10,280.67
  6. Step 6: Final answer
    x = 4,892.27

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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.