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Finding the Fourth Proportional to 11,448.96, 17,174.88 and 4,054.56

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Solution

The fourth proportional to 11,448.96, 17,174.88 and 4,054.56 is: 6,082.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,448.96 : 17,174.88 = 4,054.56 : x
  2. Step 2: Convert to fraction form
    11,448.96/17,174.88 = 4,054.56/x
  3. Step 3: Cross multiply
    11,448.96x = 17,174.88 × 4,054.56
  4. Step 4: Simplify right side
    11,448.96x = 69,636,581.45
  5. Step 5: Solve for x
    x = 69,636,581.45/11,448.96
  6. Step 6: Final answer
    x = 6,082.35

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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.