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Finding the Fourth Proportional to 11,470.24, 17,208 and 3,262.24

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Solution

The fourth proportional to 11,470.24, 17,208 and 3,262.24 is: 4,894.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,470.24 : 17,208 = 3,262.24 : x
  2. Step 2: Convert to fraction form
    11,470.24/17,208 = 3,262.24/x
  3. Step 3: Cross multiply
    11,470.24x = 17,208 × 3,262.24
  4. Step 4: Simplify right side
    11,470.24x = 56,136,625.92
  5. Step 5: Solve for x
    x = 56,136,625.92/11,470.24
  6. Step 6: Final answer
    x = 4,894.11

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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.