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Finding the Fourth Proportional to 10,420.56, 14,381.13 and 5,944.41

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Solution

The fourth proportional to 10,420.56, 14,381.13 and 5,944.41 is: 8,203.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,420.56 : 14,381.13 = 5,944.41 : x
  2. Step 2: Convert to fraction form
    10,420.56/14,381.13 = 5,944.41/x
  3. Step 3: Cross multiply
    10,420.56x = 14,381.13 × 5,944.41
  4. Step 4: Simplify right side
    10,420.56x = 85,487,332.98
  5. Step 5: Solve for x
    x = 85,487,332.98/10,420.56
  6. Step 6: Final answer
    x = 8,203.72

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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.