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Finding the Fourth Proportional to 11,456.80, 17,186.04 and 3,666.40

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Solution

The fourth proportional to 11,456.80, 17,186.04 and 3,666.40 is: 5,499.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,456.80 : 17,186.04 = 3,666.40 : x
  2. Step 2: Convert to fraction form
    11,456.80/17,186.04 = 3,666.40/x
  3. Step 3: Cross multiply
    11,456.80x = 17,186.04 × 3,666.40
  4. Step 4: Simplify right side
    11,456.80x = 63,010,897.06
  5. Step 5: Solve for x
    x = 63,010,897.06/11,456.80
  6. Step 6: Final answer
    x = 5,499.87

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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.