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Finding the Fourth Proportional to 11,560, 17,347.68 and 4,264

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Solution

The fourth proportional to 11,560, 17,347.68 and 4,264 is: 6,398.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,560 : 17,347.68 = 4,264 : x
  2. Step 2: Convert to fraction form
    11,560/17,347.68 = 4,264/x
  3. Step 3: Cross multiply
    11,560x = 17,347.68 × 4,264
  4. Step 4: Simplify right side
    11,560x = 73,970,507.52
  5. Step 5: Solve for x
    x = 73,970,507.52/11,560
  6. Step 6: Final answer
    x = 6,398.83

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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.