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Finding the Fourth Proportional to 10,411.44, 14,366.08 and 5,935.27

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Solution

The fourth proportional to 10,411.44, 14,366.08 and 5,935.27 is: 8,189.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,411.44 : 14,366.08 = 5,935.27 : x
  2. Step 2: Convert to fraction form
    10,411.44/14,366.08 = 5,935.27/x
  3. Step 3: Cross multiply
    10,411.44x = 14,366.08 × 5,935.27
  4. Step 4: Simplify right side
    10,411.44x = 85,266,533.97
  5. Step 5: Solve for x
    x = 85,266,533.97/10,411.44
  6. Step 6: Final answer
    x = 8,189.70

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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.