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Finding the Fourth Proportional to 10,096.94, 15,144.33 and 3,523.25

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Solution

The fourth proportional to 10,096.94, 15,144.33 and 3,523.25 is: 5,284.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,096.94 : 15,144.33 = 3,523.25 : x
  2. Step 2: Convert to fraction form
    10,096.94/15,144.33 = 3,523.25/x
  3. Step 3: Cross multiply
    10,096.94x = 15,144.33 × 3,523.25
  4. Step 4: Simplify right side
    10,096.94x = 53,357,311.75
  5. Step 5: Solve for x
    x = 53,357,311.75/10,096.94
  6. Step 6: Final answer
    x = 5,284.50

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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.