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Finding the Fourth Proportional to 10,256.14, 15,379.08 and 5,324.41

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Solution

The fourth proportional to 10,256.14, 15,379.08 and 5,324.41 is: 7,983.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,256.14 : 15,379.08 = 5,324.41 : x
  2. Step 2: Convert to fraction form
    10,256.14/15,379.08 = 5,324.41/x
  3. Step 3: Cross multiply
    10,256.14x = 15,379.08 × 5,324.41
  4. Step 4: Simplify right side
    10,256.14x = 81,884,527.34
  5. Step 5: Solve for x
    x = 81,884,527.34/10,256.14
  6. Step 6: Final answer
    x = 7,983.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.