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Finding the Fourth Proportional to 10,834.22, 14,951.14 and 5,866.22

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Solution

The fourth proportional to 10,834.22, 14,951.14 and 5,866.22 is: 8,095.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,834.22 : 14,951.14 = 5,866.22 : x
  2. Step 2: Convert to fraction form
    10,834.22/14,951.14 = 5,866.22/x
  3. Step 3: Cross multiply
    10,834.22x = 14,951.14 × 5,866.22
  4. Step 4: Simplify right side
    10,834.22x = 87,706,587.07
  5. Step 5: Solve for x
    x = 87,706,587.07/10,834.22
  6. Step 6: Final answer
    x = 8,095.33

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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.