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Finding the Fourth Proportional to 11,533.91, 17,287.43 and 5,294.58

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Solution

The fourth proportional to 11,533.91, 17,287.43 and 5,294.58 is: 7,935.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,533.91 : 17,287.43 = 5,294.58 : x
  2. Step 2: Convert to fraction form
    11,533.91/17,287.43 = 5,294.58/x
  3. Step 3: Cross multiply
    11,533.91x = 17,287.43 × 5,294.58
  4. Step 4: Simplify right side
    11,533.91x = 91,529,687.07
  5. Step 5: Solve for x
    x = 91,529,687.07/11,533.91
  6. Step 6: Final answer
    x = 7,935.70

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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.