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Finding the Fourth Proportional to 11,103.68, 15,297.06 and 7,740.38

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Solution

The fourth proportional to 11,103.68, 15,297.06 and 7,740.38 is: 10,663.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,103.68 : 15,297.06 = 7,740.38 : x
  2. Step 2: Convert to fraction form
    11,103.68/15,297.06 = 7,740.38/x
  3. Step 3: Cross multiply
    11,103.68x = 15,297.06 × 7,740.38
  4. Step 4: Simplify right side
    11,103.68x = 118,405,057.28
  5. Step 5: Solve for x
    x = 118,405,057.28/11,103.68
  6. Step 6: Final answer
    x = 10,663.59

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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.