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Finding the Fourth Proportional to 11,644.80, 17,468.16 and 6,094.24

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Solution

The fourth proportional to 11,644.80, 17,468.16 and 6,094.24 is: 9,141.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,644.80 : 17,468.16 = 6,094.24 : x
  2. Step 2: Convert to fraction form
    11,644.80/17,468.16 = 6,094.24/x
  3. Step 3: Cross multiply
    11,644.80x = 17,468.16 × 6,094.24
  4. Step 4: Simplify right side
    11,644.80x = 106,455,159.40
  5. Step 5: Solve for x
    x = 106,455,159.40/11,644.80
  6. Step 6: Final answer
    x = 9,141.86

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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.