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Finding the Fourth Proportional to 11,791.34, 17,615.68 and 7,597.16

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Solution

The fourth proportional to 11,791.34, 17,615.68 and 7,597.16 is: 11,349.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,791.34 : 17,615.68 = 7,597.16 : x
  2. Step 2: Convert to fraction form
    11,791.34/17,615.68 = 7,597.16/x
  3. Step 3: Cross multiply
    11,791.34x = 17,615.68 × 7,597.16
  4. Step 4: Simplify right side
    11,791.34x = 133,829,139.47
  5. Step 5: Solve for x
    x = 133,829,139.47/11,791.34
  6. Step 6: Final answer
    x = 11,349.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.