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Finding the Fourth Proportional to 10,874.34, 16,315.02 and 5,034.78

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Solution

The fourth proportional to 10,874.34, 16,315.02 and 5,034.78 is: 7,553.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,874.34 : 16,315.02 = 5,034.78 : x
  2. Step 2: Convert to fraction form
    10,874.34/16,315.02 = 5,034.78/x
  3. Step 3: Cross multiply
    10,874.34x = 16,315.02 × 5,034.78
  4. Step 4: Simplify right side
    10,874.34x = 82,142,536.40
  5. Step 5: Solve for x
    x = 82,142,536.40/10,874.34
  6. Step 6: Final answer
    x = 7,553.80

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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.