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Finding the Fourth Proportional to 10,594.92, 15,895 and 7,481.03

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Solution

The fourth proportional to 10,594.92, 15,895 and 7,481.03 is: 11,223.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,594.92 : 15,895 = 7,481.03 : x
  2. Step 2: Convert to fraction form
    10,594.92/15,895 = 7,481.03/x
  3. Step 3: Cross multiply
    10,594.92x = 15,895 × 7,481.03
  4. Step 4: Simplify right side
    10,594.92x = 118,910,892.38
  5. Step 5: Solve for x
    x = 118,910,892.38/10,594.92
  6. Step 6: Final answer
    x = 11,223.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.