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Finding the Fourth Proportional to 10,423.17, 14,383.44 and 5,706.54

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Solution

The fourth proportional to 10,423.17, 14,383.44 and 5,706.54 is: 7,874.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,423.17 : 14,383.44 = 5,706.54 : x
  2. Step 2: Convert to fraction form
    10,423.17/14,383.44 = 5,706.54/x
  3. Step 3: Cross multiply
    10,423.17x = 14,383.44 × 5,706.54
  4. Step 4: Simplify right side
    10,423.17x = 82,079,675.70
  5. Step 5: Solve for x
    x = 82,079,675.70/10,423.17
  6. Step 6: Final answer
    x = 7,874.73

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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.