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Finding the Fourth Proportional to 8,523, 11,761.92 and 4,797

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Solution

The fourth proportional to 8,523, 11,761.92 and 4,797 is: 6,619.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,523 : 11,761.92 = 4,797 : x
  2. Step 2: Convert to fraction form
    8,523/11,761.92 = 4,797/x
  3. Step 3: Cross multiply
    8,523x = 11,761.92 × 4,797
  4. Step 4: Simplify right side
    8,523x = 56,421,930.24
  5. Step 5: Solve for x
    x = 56,421,930.24/8,523
  6. Step 6: Final answer
    x = 6,619.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.