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Finding the Fourth Proportional to 11,678.63, 17,525.84 and 5,101.02

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Solution

The fourth proportional to 11,678.63, 17,525.84 and 5,101.02 is: 7,654.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,678.63 : 17,525.84 = 5,101.02 : x
  2. Step 2: Convert to fraction form
    11,678.63/17,525.84 = 5,101.02/x
  3. Step 3: Cross multiply
    11,678.63x = 17,525.84 × 5,101.02
  4. Step 4: Simplify right side
    11,678.63x = 89,399,634.85
  5. Step 5: Solve for x
    x = 89,399,634.85/11,678.63
  6. Step 6: Final answer
    x = 7,654.98

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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.