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Finding the Fourth Proportional to 11,854.56, 17,782.75 and 3,533.94

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Solution

The fourth proportional to 11,854.56, 17,782.75 and 3,533.94 is: 5,301.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,854.56 : 17,782.75 = 3,533.94 : x
  2. Step 2: Convert to fraction form
    11,854.56/17,782.75 = 3,533.94/x
  3. Step 3: Cross multiply
    11,854.56x = 17,782.75 × 3,533.94
  4. Step 4: Simplify right side
    11,854.56x = 62,843,082.62
  5. Step 5: Solve for x
    x = 62,843,082.62/11,854.56
  6. Step 6: Final answer
    x = 5,301.18

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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.