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Finding the Fourth Proportional to 11,176.12, 15,423.87 and 7,392.75

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Solution

The fourth proportional to 11,176.12, 15,423.87 and 7,392.75 is: 10,202.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,176.12 : 15,423.87 = 7,392.75 : x
  2. Step 2: Convert to fraction form
    11,176.12/15,423.87 = 7,392.75/x
  3. Step 3: Cross multiply
    11,176.12x = 15,423.87 × 7,392.75
  4. Step 4: Simplify right side
    11,176.12x = 114,024,814.94
  5. Step 5: Solve for x
    x = 114,024,814.94/11,176.12
  6. Step 6: Final answer
    x = 10,202.54

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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.