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Finding the Fourth Proportional to 7,416.46, 10,234.02 and 4,431.70

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Solution

The fourth proportional to 7,416.46, 10,234.02 and 4,431.70 is: 6,115.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,416.46 : 10,234.02 = 4,431.70 : x
  2. Step 2: Convert to fraction form
    7,416.46/10,234.02 = 4,431.70/x
  3. Step 3: Cross multiply
    7,416.46x = 10,234.02 × 4,431.70
  4. Step 4: Simplify right side
    7,416.46x = 45,354,106.43
  5. Step 5: Solve for x
    x = 45,354,106.43/7,416.46
  6. Step 6: Final answer
    x = 6,115.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.