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Finding the Fourth Proportional to 11,496.24, 17,245.47 and 4,476.84

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Solution

The fourth proportional to 11,496.24, 17,245.47 and 4,476.84 is: 6,715.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,496.24 : 17,245.47 = 4,476.84 : x
  2. Step 2: Convert to fraction form
    11,496.24/17,245.47 = 4,476.84/x
  3. Step 3: Cross multiply
    11,496.24x = 17,245.47 × 4,476.84
  4. Step 4: Simplify right side
    11,496.24x = 77,205,162.03
  5. Step 5: Solve for x
    x = 77,205,162.03/11,496.24
  6. Step 6: Final answer
    x = 6,715.69

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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.