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Finding the Fourth Proportional to 10,083.64, 13,914.28 and 5,834.04

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Solution

The fourth proportional to 10,083.64, 13,914.28 and 5,834.04 is: 8,050.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,083.64 : 13,914.28 = 5,834.04 : x
  2. Step 2: Convert to fraction form
    10,083.64/13,914.28 = 5,834.04/x
  3. Step 3: Cross multiply
    10,083.64x = 13,914.28 × 5,834.04
  4. Step 4: Simplify right side
    10,083.64x = 81,176,466.09
  5. Step 5: Solve for x
    x = 81,176,466.09/10,083.64
  6. Step 6: Final answer
    x = 8,050.31

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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.