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Finding the Fourth Proportional to 10,354.89, 15,532.34 and 2,563.71

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Solution

The fourth proportional to 10,354.89, 15,532.34 and 2,563.71 is: 3,845.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,354.89 : 15,532.34 = 2,563.71 : x
  2. Step 2: Convert to fraction form
    10,354.89/15,532.34 = 2,563.71/x
  3. Step 3: Cross multiply
    10,354.89x = 15,532.34 × 2,563.71
  4. Step 4: Simplify right side
    10,354.89x = 39,820,402.56
  5. Step 5: Solve for x
    x = 39,820,402.56/10,354.89
  6. Step 6: Final answer
    x = 3,845.57

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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.