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Finding the Fourth Proportional to 11,712.24, 17,561.88 and 7,098.48

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Solution

The fourth proportional to 11,712.24, 17,561.88 and 7,098.48 is: 10,643.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,712.24 : 17,561.88 = 7,098.48 : x
  2. Step 2: Convert to fraction form
    11,712.24/17,561.88 = 7,098.48/x
  3. Step 3: Cross multiply
    11,712.24x = 17,561.88 × 7,098.48
  4. Step 4: Simplify right side
    11,712.24x = 124,662,653.94
  5. Step 5: Solve for x
    x = 124,662,653.94/11,712.24
  6. Step 6: Final answer
    x = 10,643.79

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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.