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Finding the Fourth Proportional to 11,424.34, 15,760.95 and 7,444

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Solution

The fourth proportional to 11,424.34, 15,760.95 and 7,444 is: 10,269.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,424.34 : 15,760.95 = 7,444 : x
  2. Step 2: Convert to fraction form
    11,424.34/15,760.95 = 7,444/x
  3. Step 3: Cross multiply
    11,424.34x = 15,760.95 × 7,444
  4. Step 4: Simplify right side
    11,424.34x = 117,324,511.80
  5. Step 5: Solve for x
    x = 117,324,511.80/11,424.34
  6. Step 6: Final answer
    x = 10,269.70

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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.