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Finding the Fourth Proportional to 10,302.62, 14,217.89 and 5,827.04

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Solution

The fourth proportional to 10,302.62, 14,217.89 and 5,827.04 is: 8,041.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,302.62 : 14,217.89 = 5,827.04 : x
  2. Step 2: Convert to fraction form
    10,302.62/14,217.89 = 5,827.04/x
  3. Step 3: Cross multiply
    10,302.62x = 14,217.89 × 5,827.04
  4. Step 4: Simplify right side
    10,302.62x = 82,848,113.52
  5. Step 5: Solve for x
    x = 82,848,113.52/10,302.62
  6. Step 6: Final answer
    x = 8,041.46

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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.