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Finding the Fourth Proportional to 11,124, 15,346.89 and 7,348.95

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Solution

The fourth proportional to 11,124, 15,346.89 and 7,348.95 is: 10,138.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,124 : 15,346.89 = 7,348.95 : x
  2. Step 2: Convert to fraction form
    11,124/15,346.89 = 7,348.95/x
  3. Step 3: Cross multiply
    11,124x = 15,346.89 × 7,348.95
  4. Step 4: Simplify right side
    11,124x = 112,783,527.27
  5. Step 5: Solve for x
    x = 112,783,527.27/11,124
  6. Step 6: Final answer
    x = 10,138.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.