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Finding the Fourth Proportional to 10,735.34, 14,814.89 and 5,955.38

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Solution

The fourth proportional to 10,735.34, 14,814.89 and 5,955.38 is: 8,218.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,735.34 : 14,814.89 = 5,955.38 : x
  2. Step 2: Convert to fraction form
    10,735.34/14,814.89 = 5,955.38/x
  3. Step 3: Cross multiply
    10,735.34x = 14,814.89 × 5,955.38
  4. Step 4: Simplify right side
    10,735.34x = 88,228,299.61
  5. Step 5: Solve for x
    x = 88,228,299.61/10,735.34
  6. Step 6: Final answer
    x = 8,218.49

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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.