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Finding the Fourth Proportional to 8,178.16, 11,285.40 and 4,452.16

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Solution

The fourth proportional to 8,178.16, 11,285.40 and 4,452.16 is: 6,143.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,178.16 : 11,285.40 = 4,452.16 : x
  2. Step 2: Convert to fraction form
    8,178.16/11,285.40 = 4,452.16/x
  3. Step 3: Cross multiply
    8,178.16x = 11,285.40 × 4,452.16
  4. Step 4: Simplify right side
    8,178.16x = 50,244,406.46
  5. Step 5: Solve for x
    x = 50,244,406.46/8,178.16
  6. Step 6: Final answer
    x = 6,143.73

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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.