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Finding the Fourth Proportional to 11,262.04, 16,891.86 and 3,470

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Solution

The fourth proportional to 11,262.04, 16,891.86 and 3,470 is: 5,204.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,262.04 : 16,891.86 = 3,470 : x
  2. Step 2: Convert to fraction form
    11,262.04/16,891.86 = 3,470/x
  3. Step 3: Cross multiply
    11,262.04x = 16,891.86 × 3,470
  4. Step 4: Simplify right side
    11,262.04x = 58,614,754.20
  5. Step 5: Solve for x
    x = 58,614,754.20/11,262.04
  6. Step 6: Final answer
    x = 5,204.63

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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.