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Finding the Fourth Proportional to 10,363.56, 14,301.26 and 5,647.86

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Solution

The fourth proportional to 10,363.56, 14,301.26 and 5,647.86 is: 7,793.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,363.56 : 14,301.26 = 5,647.86 : x
  2. Step 2: Convert to fraction form
    10,363.56/14,301.26 = 5,647.86/x
  3. Step 3: Cross multiply
    10,363.56x = 14,301.26 × 5,647.86
  4. Step 4: Simplify right side
    10,363.56x = 80,771,514.30
  5. Step 5: Solve for x
    x = 80,771,514.30/10,363.56
  6. Step 6: Final answer
    x = 7,793.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.