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Finding the Fourth Proportional to 10,667.20, 14,720.68 and 5,951.47

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Solution

The fourth proportional to 10,667.20, 14,720.68 and 5,951.47 is: 8,213.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,667.20 : 14,720.68 = 5,951.47 : x
  2. Step 2: Convert to fraction form
    10,667.20/14,720.68 = 5,951.47/x
  3. Step 3: Cross multiply
    10,667.20x = 14,720.68 × 5,951.47
  4. Step 4: Simplify right side
    10,667.20x = 87,609,685.40
  5. Step 5: Solve for x
    x = 87,609,685.40/10,667.20
  6. Step 6: Final answer
    x = 8,213.00

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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.