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Finding the Fourth Proportional to 10,154.64, 15,234.42 and 3,229.14

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Solution

The fourth proportional to 10,154.64, 15,234.42 and 3,229.14 is: 4,844.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,154.64 : 15,234.42 = 3,229.14 : x
  2. Step 2: Convert to fraction form
    10,154.64/15,234.42 = 3,229.14/x
  3. Step 3: Cross multiply
    10,154.64x = 15,234.42 × 3,229.14
  4. Step 4: Simplify right side
    10,154.64x = 49,194,075.00
  5. Step 5: Solve for x
    x = 49,194,075.00/10,154.64
  6. Step 6: Final answer
    x = 4,844.49

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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.