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Finding the Fourth Proportional to 10,829.67, 14,928.57 and 8,467.71

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Solution

The fourth proportional to 10,829.67, 14,928.57 and 8,467.71 is: 11,672.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,829.67 : 14,928.57 = 8,467.71 : x
  2. Step 2: Convert to fraction form
    10,829.67/14,928.57 = 8,467.71/x
  3. Step 3: Cross multiply
    10,829.67x = 14,928.57 × 8,467.71
  4. Step 4: Simplify right side
    10,829.67x = 126,410,801.47
  5. Step 5: Solve for x
    x = 126,410,801.47/10,829.67
  6. Step 6: Final answer
    x = 11,672.64

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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.