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Finding the Fourth Proportional to 10,874.15, 16,286.43 and 6,482.53

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Solution

The fourth proportional to 10,874.15, 16,286.43 and 6,482.53 is: 9,709.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,874.15 : 16,286.43 = 6,482.53 : x
  2. Step 2: Convert to fraction form
    10,874.15/16,286.43 = 6,482.53/x
  3. Step 3: Cross multiply
    10,874.15x = 16,286.43 × 6,482.53
  4. Step 4: Simplify right side
    10,874.15x = 105,577,189.64
  5. Step 5: Solve for x
    x = 105,577,189.64/10,874.15
  6. Step 6: Final answer
    x = 9,709.01

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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.