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Finding the Fourth Proportional to 8,567.67, 12,851.50 and 5,645.29

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Solution

The fourth proportional to 8,567.67, 12,851.50 and 5,645.29 is: 8,467.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,567.67 : 12,851.50 = 5,645.29 : x
  2. Step 2: Convert to fraction form
    8,567.67/12,851.50 = 5,645.29/x
  3. Step 3: Cross multiply
    8,567.67x = 12,851.50 × 5,645.29
  4. Step 4: Simplify right side
    8,567.67x = 72,550,444.44
  5. Step 5: Solve for x
    x = 72,550,444.44/8,567.67
  6. Step 6: Final answer
    x = 8,467.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.