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Finding the Fourth Proportional to 10,372.78, 14,314.35 and 5,656.96

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Solution

The fourth proportional to 10,372.78, 14,314.35 and 5,656.96 is: 7,806.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,372.78 : 14,314.35 = 5,656.96 : x
  2. Step 2: Convert to fraction form
    10,372.78/14,314.35 = 5,656.96/x
  3. Step 3: Cross multiply
    10,372.78x = 14,314.35 × 5,656.96
  4. Step 4: Simplify right side
    10,372.78x = 80,975,705.38
  5. Step 5: Solve for x
    x = 80,975,705.38/10,372.78
  6. Step 6: Final answer
    x = 7,806.56

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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.