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Finding the Fourth Proportional to 10,451.63, 14,423.06 and 5,914.27

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Solution

The fourth proportional to 10,451.63, 14,423.06 and 5,914.27 is: 8,161.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,451.63 : 14,423.06 = 5,914.27 : x
  2. Step 2: Convert to fraction form
    10,451.63/14,423.06 = 5,914.27/x
  3. Step 3: Cross multiply
    10,451.63x = 14,423.06 × 5,914.27
  4. Step 4: Simplify right side
    10,451.63x = 85,301,871.07
  5. Step 5: Solve for x
    x = 85,301,871.07/10,451.63
  6. Step 6: Final answer
    x = 8,161.59

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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.