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Finding the Fourth Proportional to 10,437.85, 14,400.68 and 5,958.42

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Solution

The fourth proportional to 10,437.85, 14,400.68 and 5,958.42 is: 8,220.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,437.85 : 14,400.68 = 5,958.42 : x
  2. Step 2: Convert to fraction form
    10,437.85/14,400.68 = 5,958.42/x
  3. Step 3: Cross multiply
    10,437.85x = 14,400.68 × 5,958.42
  4. Step 4: Simplify right side
    10,437.85x = 85,805,299.73
  5. Step 5: Solve for x
    x = 85,805,299.73/10,437.85
  6. Step 6: Final answer
    x = 8,220.59

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