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Finding the Fourth Proportional to 10,667.46, 14,721.18 and 5,951.76

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Solution

The fourth proportional to 10,667.46, 14,721.18 and 5,951.76 is: 8,213.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,667.46 : 14,721.18 = 5,951.76 : x
  2. Step 2: Convert to fraction form
    10,667.46/14,721.18 = 5,951.76/x
  3. Step 3: Cross multiply
    10,667.46x = 14,721.18 × 5,951.76
  4. Step 4: Simplify right side
    10,667.46x = 87,616,930.28
  5. Step 5: Solve for x
    x = 87,616,930.28/10,667.46
  6. Step 6: Final answer
    x = 8,213.48

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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.