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Finding the Fourth Proportional to 10,234.56, 15,352.02 and 3,662.40

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Solution

The fourth proportional to 10,234.56, 15,352.02 and 3,662.40 is: 5,493.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,234.56 : 15,352.02 = 3,662.40 : x
  2. Step 2: Convert to fraction form
    10,234.56/15,352.02 = 3,662.40/x
  3. Step 3: Cross multiply
    10,234.56x = 15,352.02 × 3,662.40
  4. Step 4: Simplify right side
    10,234.56x = 56,225,238.05
  5. Step 5: Solve for x
    x = 56,225,238.05/10,234.56
  6. Step 6: Final answer
    x = 5,493.66

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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.