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Finding the Fourth Proportional to 10,390.27, 14,336.90 and 5,914.10

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Solution

The fourth proportional to 10,390.27, 14,336.90 and 5,914.10 is: 8,160.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,390.27 : 14,336.90 = 5,914.10 : x
  2. Step 2: Convert to fraction form
    10,390.27/14,336.90 = 5,914.10/x
  3. Step 3: Cross multiply
    10,390.27x = 14,336.90 × 5,914.10
  4. Step 4: Simplify right side
    10,390.27x = 84,789,759.04
  5. Step 5: Solve for x
    x = 84,789,759.04/10,390.27
  6. Step 6: Final answer
    x = 8,160.50

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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.