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Finding the Fourth Proportional to 11,666.52, 17,504.34 and 8,103.96

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Solution

The fourth proportional to 11,666.52, 17,504.34 and 8,103.96 is: 12,159.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,666.52 : 17,504.34 = 8,103.96 : x
  2. Step 2: Convert to fraction form
    11,666.52/17,504.34 = 8,103.96/x
  3. Step 3: Cross multiply
    11,666.52x = 17,504.34 × 8,103.96
  4. Step 4: Simplify right side
    11,666.52x = 141,854,471.19
  5. Step 5: Solve for x
    x = 141,854,471.19/11,666.52
  6. Step 6: Final answer
    x = 12,159.11

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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.