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Finding the Fourth Proportional to 11,176.74, 15,423.91 and 6,141.29

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Solution

The fourth proportional to 11,176.74, 15,423.91 and 6,141.29 is: 8,474.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,176.74 : 15,423.91 = 6,141.29 : x
  2. Step 2: Convert to fraction form
    11,176.74/15,423.91 = 6,141.29/x
  3. Step 3: Cross multiply
    11,176.74x = 15,423.91 × 6,141.29
  4. Step 4: Simplify right side
    11,176.74x = 94,722,704.24
  5. Step 5: Solve for x
    x = 94,722,704.24/11,176.74
  6. Step 6: Final answer
    x = 8,474.99

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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.