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Finding the Fourth Proportional to 11,487.94, 17,236.01 and 5,648.65

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Solution

The fourth proportional to 11,487.94, 17,236.01 and 5,648.65 is: 8,474.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,487.94 : 17,236.01 = 5,648.65 : x
  2. Step 2: Convert to fraction form
    11,487.94/17,236.01 = 5,648.65/x
  3. Step 3: Cross multiply
    11,487.94x = 17,236.01 × 5,648.65
  4. Step 4: Simplify right side
    11,487.94x = 97,360,158.92
  5. Step 5: Solve for x
    x = 97,360,158.92/11,487.94
  6. Step 6: Final answer
    x = 8,474.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.