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Finding the Fourth Proportional to 11,691.84, 17,541 and 6,501.36

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Solution

The fourth proportional to 11,691.84, 17,541 and 6,501.36 is: 9,753.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,691.84 : 17,541 = 6,501.36 : x
  2. Step 2: Convert to fraction form
    11,691.84/17,541 = 6,501.36/x
  3. Step 3: Cross multiply
    11,691.84x = 17,541 × 6,501.36
  4. Step 4: Simplify right side
    11,691.84x = 114,040,355.76
  5. Step 5: Solve for x
    x = 114,040,355.76/11,691.84
  6. Step 6: Final answer
    x = 9,753.84

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