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Finding the Fourth Proportional to 11,124.48, 15,364.38 and 7,581.54

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Solution

The fourth proportional to 11,124.48, 15,364.38 and 7,581.54 is: 10,471.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,124.48 : 15,364.38 = 7,581.54 : x
  2. Step 2: Convert to fraction form
    11,124.48/15,364.38 = 7,581.54/x
  3. Step 3: Cross multiply
    11,124.48x = 15,364.38 × 7,581.54
  4. Step 4: Simplify right side
    11,124.48x = 116,485,661.55
  5. Step 5: Solve for x
    x = 116,485,661.55/11,124.48
  6. Step 6: Final answer
    x = 10,471.11

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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.