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Finding the Fourth Proportional to 11,359.64, 17,016.83 and 6,911.83

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Solution

The fourth proportional to 11,359.64, 17,016.83 and 6,911.83 is: 10,353.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,359.64 : 17,016.83 = 6,911.83 : x
  2. Step 2: Convert to fraction form
    11,359.64/17,016.83 = 6,911.83/x
  3. Step 3: Cross multiply
    11,359.64x = 17,016.83 × 6,911.83
  4. Step 4: Simplify right side
    11,359.64x = 117,617,487.61
  5. Step 5: Solve for x
    x = 117,617,487.61/11,359.64
  6. Step 6: Final answer
    x = 10,353.98

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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.