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Finding the Fourth Proportional to 11,642.26, 17,463.44 and 6,097.24

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Solution

The fourth proportional to 11,642.26, 17,463.44 and 6,097.24 is: 9,145.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,642.26 : 17,463.44 = 6,097.24 : x
  2. Step 2: Convert to fraction form
    11,642.26/17,463.44 = 6,097.24/x
  3. Step 3: Cross multiply
    11,642.26x = 17,463.44 × 6,097.24
  4. Step 4: Simplify right side
    11,642.26x = 106,478,784.91
  5. Step 5: Solve for x
    x = 106,478,784.91/11,642.26
  6. Step 6: Final answer
    x = 9,145.89

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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.