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Finding the Fourth Proportional to 10,057.22, 15,086.02 and 3,483.62

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Solution

The fourth proportional to 10,057.22, 15,086.02 and 3,483.62 is: 5,225.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,057.22 : 15,086.02 = 3,483.62 : x
  2. Step 2: Convert to fraction form
    10,057.22/15,086.02 = 3,483.62/x
  3. Step 3: Cross multiply
    10,057.22x = 15,086.02 × 3,483.62
  4. Step 4: Simplify right side
    10,057.22x = 52,553,960.99
  5. Step 5: Solve for x
    x = 52,553,960.99/10,057.22
  6. Step 6: Final answer
    x = 5,225.50

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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.