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Finding the Fourth Proportional to 11,543.32, 17,314.28 and 3,223.80

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Solution

The fourth proportional to 11,543.32, 17,314.28 and 3,223.80 is: 4,835.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,543.32 : 17,314.28 = 3,223.80 : x
  2. Step 2: Convert to fraction form
    11,543.32/17,314.28 = 3,223.80/x
  3. Step 3: Cross multiply
    11,543.32x = 17,314.28 × 3,223.80
  4. Step 4: Simplify right side
    11,543.32x = 55,817,775.86
  5. Step 5: Solve for x
    x = 55,817,775.86/11,543.32
  6. Step 6: Final answer
    x = 4,835.50

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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.