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Finding the Fourth Proportional to 7,808.34, 10,757.43 and 5,446.38

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Solution

The fourth proportional to 7,808.34, 10,757.43 and 5,446.38 is: 7,503.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,808.34 : 10,757.43 = 5,446.38 : x
  2. Step 2: Convert to fraction form
    7,808.34/10,757.43 = 5,446.38/x
  3. Step 3: Cross multiply
    7,808.34x = 10,757.43 × 5,446.38
  4. Step 4: Simplify right side
    7,808.34x = 58,589,051.60
  5. Step 5: Solve for x
    x = 58,589,051.60/7,808.34
  6. Step 6: Final answer
    x = 7,503.39

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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.