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Finding the Fourth Proportional to 10,451.70, 14,422.26 and 5,914.89

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Solution

The fourth proportional to 10,451.70, 14,422.26 and 5,914.89 is: 8,161.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,451.70 : 14,422.26 = 5,914.89 : x
  2. Step 2: Convert to fraction form
    10,451.70/14,422.26 = 5,914.89/x
  3. Step 3: Cross multiply
    10,451.70x = 14,422.26 × 5,914.89
  4. Step 4: Simplify right side
    10,451.70x = 85,306,081.45
  5. Step 5: Solve for x
    x = 85,306,081.45/10,451.70
  6. Step 6: Final answer
    x = 8,161.93

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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.