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Finding the Fourth Proportional to 11,666.63, 17,499.94 and 3,458.63

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Solution

The fourth proportional to 11,666.63, 17,499.94 and 3,458.63 is: 5,187.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,666.63 : 17,499.94 = 3,458.63 : x
  2. Step 2: Convert to fraction form
    11,666.63/17,499.94 = 3,458.63/x
  3. Step 3: Cross multiply
    11,666.63x = 17,499.94 × 3,458.63
  4. Step 4: Simplify right side
    11,666.63x = 60,525,817.48
  5. Step 5: Solve for x
    x = 60,525,817.48/11,666.63
  6. Step 6: Final answer
    x = 5,187.94

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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.