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Finding the Fourth Proportional to 10,412.90, 14,369.45 and 5,938.10

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Solution

The fourth proportional to 10,412.90, 14,369.45 and 5,938.10 is: 8,194.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,412.90 : 14,369.45 = 5,938.10 : x
  2. Step 2: Convert to fraction form
    10,412.90/14,369.45 = 5,938.10/x
  3. Step 3: Cross multiply
    10,412.90x = 14,369.45 × 5,938.10
  4. Step 4: Simplify right side
    10,412.90x = 85,327,176.38
  5. Step 5: Solve for x
    x = 85,327,176.38/10,412.90
  6. Step 6: Final answer
    x = 8,194.37

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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.