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Finding the Fourth Proportional to 10,443.34, 14,410.38 and 5,966.80

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Solution

The fourth proportional to 10,443.34, 14,410.38 and 5,966.80 is: 8,233.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,443.34 : 14,410.38 = 5,966.80 : x
  2. Step 2: Convert to fraction form
    10,443.34/14,410.38 = 5,966.80/x
  3. Step 3: Cross multiply
    10,443.34x = 14,410.38 × 5,966.80
  4. Step 4: Simplify right side
    10,443.34x = 85,983,855.38
  5. Step 5: Solve for x
    x = 85,983,855.38/10,443.34
  6. Step 6: Final answer
    x = 8,233.37

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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.