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Finding the Fourth Proportional to 8,437.29, 12,657.30 and 3,172.71

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Solution

The fourth proportional to 8,437.29, 12,657.30 and 3,172.71 is: 4,759.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,437.29 : 12,657.30 = 3,172.71 : x
  2. Step 2: Convert to fraction form
    8,437.29/12,657.30 = 3,172.71/x
  3. Step 3: Cross multiply
    8,437.29x = 12,657.30 × 3,172.71
  4. Step 4: Simplify right side
    8,437.29x = 40,157,942.28
  5. Step 5: Solve for x
    x = 40,157,942.28/8,437.29
  6. Step 6: Final answer
    x = 4,759.58

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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.