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Finding the Fourth Proportional to 11,691.36, 17,533.61 and 6,353.71

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Solution

The fourth proportional to 11,691.36, 17,533.61 and 6,353.71 is: 9,528.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,691.36 : 17,533.61 = 6,353.71 : x
  2. Step 2: Convert to fraction form
    11,691.36/17,533.61 = 6,353.71/x
  3. Step 3: Cross multiply
    11,691.36x = 17,533.61 × 6,353.71
  4. Step 4: Simplify right side
    11,691.36x = 111,403,421.42
  5. Step 5: Solve for x
    x = 111,403,421.42/11,691.36
  6. Step 6: Final answer
    x = 9,528.70

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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.