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Finding the Fourth Proportional to 11,588.34, 17,385.15 and 3,796.98

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Solution

The fourth proportional to 11,588.34, 17,385.15 and 3,796.98 is: 5,696.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,588.34 : 17,385.15 = 3,796.98 : x
  2. Step 2: Convert to fraction form
    11,588.34/17,385.15 = 3,796.98/x
  3. Step 3: Cross multiply
    11,588.34x = 17,385.15 × 3,796.98
  4. Step 4: Simplify right side
    11,588.34x = 66,011,066.85
  5. Step 5: Solve for x
    x = 66,011,066.85/11,588.34
  6. Step 6: Final answer
    x = 5,696.34

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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.