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Finding the Fourth Proportional to 8,462.16, 12,672.32 and 4,942.96

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Solution

The fourth proportional to 8,462.16, 12,672.32 and 4,942.96 is: 7,402.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,462.16 : 12,672.32 = 4,942.96 : x
  2. Step 2: Convert to fraction form
    8,462.16/12,672.32 = 4,942.96/x
  3. Step 3: Cross multiply
    8,462.16x = 12,672.32 × 4,942.96
  4. Step 4: Simplify right side
    8,462.16x = 62,638,770.87
  5. Step 5: Solve for x
    x = 62,638,770.87/8,462.16
  6. Step 6: Final answer
    x = 7,402.22

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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.