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Finding the Fourth Proportional to 11,234.34, 15,508.36 and 7,257.39

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Solution

The fourth proportional to 11,234.34, 15,508.36 and 7,257.39 is: 10,018.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,234.34 : 15,508.36 = 7,257.39 : x
  2. Step 2: Convert to fraction form
    11,234.34/15,508.36 = 7,257.39/x
  3. Step 3: Cross multiply
    11,234.34x = 15,508.36 × 7,257.39
  4. Step 4: Simplify right side
    11,234.34x = 112,550,216.78
  5. Step 5: Solve for x
    x = 112,550,216.78/11,234.34
  6. Step 6: Final answer
    x = 10,018.41

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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.