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Finding the Fourth Proportional to 10,442.94, 14,411.21 and 5,727.22

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Solution

The fourth proportional to 10,442.94, 14,411.21 and 5,727.22 is: 7,903.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,442.94 : 14,411.21 = 5,727.22 : x
  2. Step 2: Convert to fraction form
    10,442.94/14,411.21 = 5,727.22/x
  3. Step 3: Cross multiply
    10,442.94x = 14,411.21 × 5,727.22
  4. Step 4: Simplify right side
    10,442.94x = 82,536,170.14
  5. Step 5: Solve for x
    x = 82,536,170.14/10,442.94
  6. Step 6: Final answer
    x = 7,903.54

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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.