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Finding the Fourth Proportional to 10,838.96, 16,223.72 and 5,834.32

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Solution

The fourth proportional to 10,838.96, 16,223.72 and 5,834.32 is: 8,732.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,838.96 : 16,223.72 = 5,834.32 : x
  2. Step 2: Convert to fraction form
    10,838.96/16,223.72 = 5,834.32/x
  3. Step 3: Cross multiply
    10,838.96x = 16,223.72 × 5,834.32
  4. Step 4: Simplify right side
    10,838.96x = 94,654,374.07
  5. Step 5: Solve for x
    x = 94,654,374.07/10,838.96
  6. Step 6: Final answer
    x = 8,732.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.