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Finding the Fourth Proportional to 10,019.40, 13,827.96 and 5,827.64

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Solution

The fourth proportional to 10,019.40, 13,827.96 and 5,827.64 is: 8,042.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,019.40 : 13,827.96 = 5,827.64 : x
  2. Step 2: Convert to fraction form
    10,019.40/13,827.96 = 5,827.64/x
  3. Step 3: Cross multiply
    10,019.40x = 13,827.96 × 5,827.64
  4. Step 4: Simplify right side
    10,019.40x = 80,584,372.81
  5. Step 5: Solve for x
    x = 80,584,372.81/10,019.40
  6. Step 6: Final answer
    x = 8,042.83

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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.