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Finding the Fourth Proportional to 8,273.67, 12,412.53 and 3,886.02

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Solution

The fourth proportional to 8,273.67, 12,412.53 and 3,886.02 is: 5,829.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,273.67 : 12,412.53 = 3,886.02 : x
  2. Step 2: Convert to fraction form
    8,273.67/12,412.53 = 3,886.02/x
  3. Step 3: Cross multiply
    8,273.67x = 12,412.53 × 3,886.02
  4. Step 4: Simplify right side
    8,273.67x = 48,235,339.83
  5. Step 5: Solve for x
    x = 48,235,339.83/8,273.67
  6. Step 6: Final answer
    x = 5,829.98

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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.