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Finding the Fourth Proportional to 8,591.86, 12,886.23 and 2,969.53

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Solution

The fourth proportional to 8,591.86, 12,886.23 and 2,969.53 is: 4,453.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,591.86 : 12,886.23 = 2,969.53 : x
  2. Step 2: Convert to fraction form
    8,591.86/12,886.23 = 2,969.53/x
  3. Step 3: Cross multiply
    8,591.86x = 12,886.23 × 2,969.53
  4. Step 4: Simplify right side
    8,591.86x = 38,266,025.49
  5. Step 5: Solve for x
    x = 38,266,025.49/8,591.86
  6. Step 6: Final answer
    x = 4,453.75

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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.