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Finding the Fourth Proportional to 8,711.82, 12,022.38 and 4,733.01

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Solution

The fourth proportional to 8,711.82, 12,022.38 and 4,733.01 is: 6,531.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,711.82 : 12,022.38 = 4,733.01 : x
  2. Step 2: Convert to fraction form
    8,711.82/12,022.38 = 4,733.01/x
  3. Step 3: Cross multiply
    8,711.82x = 12,022.38 × 4,733.01
  4. Step 4: Simplify right side
    8,711.82x = 56,902,044.76
  5. Step 5: Solve for x
    x = 56,902,044.76/8,711.82
  6. Step 6: Final answer
    x = 6,531.59

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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.