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Finding the Fourth Proportional to 11,176.36, 15,423.78 and 6,141.14

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Solution

The fourth proportional to 11,176.36, 15,423.78 and 6,141.14 is: 8,474.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,176.36 : 15,423.78 = 6,141.14 : x
  2. Step 2: Convert to fraction form
    11,176.36/15,423.78 = 6,141.14/x
  3. Step 3: Cross multiply
    11,176.36x = 15,423.78 × 6,141.14
  4. Step 4: Simplify right side
    11,176.36x = 94,719,592.31
  5. Step 5: Solve for x
    x = 94,719,592.31/11,176.36
  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.