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Finding the Fourth Proportional to 10,354.64, 15,532.12 and 2,563.45

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Solution

The fourth proportional to 10,354.64, 15,532.12 and 2,563.45 is: 3,845.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,354.64 : 15,532.12 = 2,563.45 : x
  2. Step 2: Convert to fraction form
    10,354.64/15,532.12 = 2,563.45/x
  3. Step 3: Cross multiply
    10,354.64x = 15,532.12 × 2,563.45
  4. Step 4: Simplify right side
    10,354.64x = 39,815,850.34
  5. Step 5: Solve for x
    x = 39,815,850.34/10,354.64
  6. Step 6: Final answer
    x = 3,845.22

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Why These Related Problems?

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