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Finding the Fourth Proportional to 11,176.52, 15,423.86 and 6,141.06

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Solution

The fourth proportional to 11,176.52, 15,423.86 and 6,141.06 is: 8,474.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,176.52 : 15,423.86 = 6,141.06 : x
  2. Step 2: Convert to fraction form
    11,176.52/15,423.86 = 6,141.06/x
  3. Step 3: Cross multiply
    11,176.52x = 15,423.86 × 6,141.06
  4. Step 4: Simplify right side
    11,176.52x = 94,718,849.69
  5. Step 5: Solve for x
    x = 94,718,849.69/11,176.52
  6. Step 6: Final answer
    x = 8,474.81

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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.