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Finding the Fourth Proportional to 10,834.22, 14,951.04 and 6,054.23

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Solution

The fourth proportional to 10,834.22, 14,951.04 and 6,054.23 is: 8,354.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,834.22 : 14,951.04 = 6,054.23 : x
  2. Step 2: Convert to fraction form
    10,834.22/14,951.04 = 6,054.23/x
  3. Step 3: Cross multiply
    10,834.22x = 14,951.04 × 6,054.23
  4. Step 4: Simplify right side
    10,834.22x = 90,516,960.14
  5. Step 5: Solve for x
    x = 90,516,960.14/10,834.22
  6. Step 6: Final answer
    x = 8,354.73

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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.