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Finding the Fourth Proportional to 8,256.67, 12,378.84 and 4,969.02

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Solution

The fourth proportional to 8,256.67, 12,378.84 and 4,969.02 is: 7,449.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,256.67 : 12,378.84 = 4,969.02 : x
  2. Step 2: Convert to fraction form
    8,256.67/12,378.84 = 4,969.02/x
  3. Step 3: Cross multiply
    8,256.67x = 12,378.84 × 4,969.02
  4. Step 4: Simplify right side
    8,256.67x = 61,510,703.54
  5. Step 5: Solve for x
    x = 61,510,703.54/8,256.67
  6. Step 6: Final answer
    x = 7,449.82

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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.