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Finding the Fourth Proportional to 11,496.74, 17,246.23 and 4,477.34

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Solution

The fourth proportional to 11,496.74, 17,246.23 and 4,477.34 is: 6,716.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,496.74 : 17,246.23 = 4,477.34 : x
  2. Step 2: Convert to fraction form
    11,496.74/17,246.23 = 4,477.34/x
  3. Step 3: Cross multiply
    11,496.74x = 17,246.23 × 4,477.34
  4. Step 4: Simplify right side
    11,496.74x = 77,217,126.81
  5. Step 5: Solve for x
    x = 77,217,126.81/11,496.74
  6. Step 6: Final answer
    x = 6,716.44

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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.