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Finding the Fourth Proportional to 11,538.03, 17,343.16 and 7,614.50

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Solution

The fourth proportional to 11,538.03, 17,343.16 and 7,614.50 is: 11,445.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,538.03 : 17,343.16 = 7,614.50 : x
  2. Step 2: Convert to fraction form
    11,538.03/17,343.16 = 7,614.50/x
  3. Step 3: Cross multiply
    11,538.03x = 17,343.16 × 7,614.50
  4. Step 4: Simplify right side
    11,538.03x = 132,059,424.14
  5. Step 5: Solve for x
    x = 132,059,424.14/11,538.03
  6. Step 6: Final answer
    x = 11,445.58

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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.