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Finding the Fourth Proportional to 8,141.68, 11,237.64 and 5,158.96

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Solution

The fourth proportional to 8,141.68, 11,237.64 and 5,158.96 is: 7,120.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,141.68 : 11,237.64 = 5,158.96 : x
  2. Step 2: Convert to fraction form
    8,141.68/11,237.64 = 5,158.96/x
  3. Step 3: Cross multiply
    8,141.68x = 11,237.64 × 5,158.96
  4. Step 4: Simplify right side
    8,141.68x = 57,974,535.25
  5. Step 5: Solve for x
    x = 57,974,535.25/8,141.68
  6. Step 6: Final answer
    x = 7,120.71

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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.