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Finding the Fourth Proportional to 8,019.42, 11,056.68 and 5,182

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Solution

The fourth proportional to 8,019.42, 11,056.68 and 5,182 is: 7,144.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,019.42 : 11,056.68 = 5,182 : x
  2. Step 2: Convert to fraction form
    8,019.42/11,056.68 = 5,182/x
  3. Step 3: Cross multiply
    8,019.42x = 11,056.68 × 5,182
  4. Step 4: Simplify right side
    8,019.42x = 57,295,715.76
  5. Step 5: Solve for x
    x = 57,295,715.76/8,019.42
  6. Step 6: Final answer
    x = 7,144.62

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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.