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Finding the Fourth Proportional to 8,125.85, 11,214.43 and 4,938.42

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Solution

The fourth proportional to 8,125.85, 11,214.43 and 4,938.42 is: 6,815.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,125.85 : 11,214.43 = 4,938.42 : x
  2. Step 2: Convert to fraction form
    8,125.85/11,214.43 = 4,938.42/x
  3. Step 3: Cross multiply
    8,125.85x = 11,214.43 × 4,938.42
  4. Step 4: Simplify right side
    8,125.85x = 55,381,559.81
  5. Step 5: Solve for x
    x = 55,381,559.81/8,125.85
  6. Step 6: Final answer
    x = 6,815.48

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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.