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Finding the Fourth Proportional to 10,420.94, 14,382.27 and 5,943.66

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Solution

The fourth proportional to 10,420.94, 14,382.27 and 5,943.66 is: 8,203.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,420.94 : 14,382.27 = 5,943.66 : x
  2. Step 2: Convert to fraction form
    10,420.94/14,382.27 = 5,943.66/x
  3. Step 3: Cross multiply
    10,420.94x = 14,382.27 × 5,943.66
  4. Step 4: Simplify right side
    10,420.94x = 85,483,347.12
  5. Step 5: Solve for x
    x = 85,483,347.12/10,420.94
  6. Step 6: Final answer
    x = 8,203.04

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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.