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Finding the Fourth Proportional to 10,409.31, 14,363.15 and 5,933.14

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Solution

The fourth proportional to 10,409.31, 14,363.15 and 5,933.14 is: 8,186.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,409.31 : 14,363.15 = 5,933.14 : x
  2. Step 2: Convert to fraction form
    10,409.31/14,363.15 = 5,933.14/x
  3. Step 3: Cross multiply
    10,409.31x = 14,363.15 × 5,933.14
  4. Step 4: Simplify right side
    10,409.31x = 85,218,514.22
  5. Step 5: Solve for x
    x = 85,218,514.22/10,409.31
  6. Step 6: Final answer
    x = 8,186.76

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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.