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Finding the Fourth Proportional to 8,763.34, 13,150.94 and 3,830.14

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Solution

The fourth proportional to 8,763.34, 13,150.94 and 3,830.14 is: 5,747.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,763.34 : 13,150.94 = 3,830.14 : x
  2. Step 2: Convert to fraction form
    8,763.34/13,150.94 = 3,830.14/x
  3. Step 3: Cross multiply
    8,763.34x = 13,150.94 × 3,830.14
  4. Step 4: Simplify right side
    8,763.34x = 50,369,941.33
  5. Step 5: Solve for x
    x = 50,369,941.33/8,763.34
  6. Step 6: Final answer
    x = 5,747.80

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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.