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Finding the Fourth Proportional to 6,500.53, 8,974.05 and 4,507.63

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Solution

The fourth proportional to 6,500.53, 8,974.05 and 4,507.63 is: 6,222.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,500.53 : 8,974.05 = 4,507.63 : x
  2. Step 2: Convert to fraction form
    6,500.53/8,974.05 = 4,507.63/x
  3. Step 3: Cross multiply
    6,500.53x = 8,974.05 × 4,507.63
  4. Step 4: Simplify right side
    6,500.53x = 40,451,674.57
  5. Step 5: Solve for x
    x = 40,451,674.57/6,500.53
  6. Step 6: Final answer
    x = 6,222.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.