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Finding the Fourth Proportional to 10,354.50, 15,532.11 and 3,428.82

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Solution

The fourth proportional to 10,354.50, 15,532.11 and 3,428.82 is: 5,143.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,354.50 : 15,532.11 = 3,428.82 : x
  2. Step 2: Convert to fraction form
    10,354.50/15,532.11 = 3,428.82/x
  3. Step 3: Cross multiply
    10,354.50x = 15,532.11 × 3,428.82
  4. Step 4: Simplify right side
    10,354.50x = 53,256,809.41
  5. Step 5: Solve for x
    x = 53,256,809.41/10,354.50
  6. Step 6: Final answer
    x = 5,143.35

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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.