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Finding the Fourth Proportional to 8,141.46, 11,228.67 and 5,487.90

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Solution

The fourth proportional to 8,141.46, 11,228.67 and 5,487.90 is: 7,568.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,141.46 : 11,228.67 = 5,487.90 : x
  2. Step 2: Convert to fraction form
    8,141.46/11,228.67 = 5,487.90/x
  3. Step 3: Cross multiply
    8,141.46x = 11,228.67 × 5,487.90
  4. Step 4: Simplify right side
    8,141.46x = 61,621,818.09
  5. Step 5: Solve for x
    x = 61,621,818.09/8,141.46
  6. Step 6: Final answer
    x = 7,568.89

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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.