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Finding the Fourth Proportional to 11,448.48, 17,176 and 5,606.80

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Solution

The fourth proportional to 11,448.48, 17,176 and 5,606.80 is: 8,411.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,448.48 : 17,176 = 5,606.80 : x
  2. Step 2: Convert to fraction form
    11,448.48/17,176 = 5,606.80/x
  3. Step 3: Cross multiply
    11,448.48x = 17,176 × 5,606.80
  4. Step 4: Simplify right side
    11,448.48x = 96,302,396.80
  5. Step 5: Solve for x
    x = 96,302,396.80/11,448.48
  6. Step 6: Final answer
    x = 8,411.81

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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.