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Finding the Fourth Proportional to 11,143.92, 15,378.54 and 6,175.92

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Solution

The fourth proportional to 11,143.92, 15,378.54 and 6,175.92 is: 8,522.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,143.92 : 15,378.54 = 6,175.92 : x
  2. Step 2: Convert to fraction form
    11,143.92/15,378.54 = 6,175.92/x
  3. Step 3: Cross multiply
    11,143.92x = 15,378.54 × 6,175.92
  4. Step 4: Simplify right side
    11,143.92x = 94,976,632.76
  5. Step 5: Solve for x
    x = 94,976,632.76/11,143.92
  6. Step 6: Final answer
    x = 8,522.73

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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.