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Finding the Fourth Proportional to 11,378.34, 17,065.08 and 3,585.33

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Solution

The fourth proportional to 11,378.34, 17,065.08 and 3,585.33 is: 5,377.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,378.34 : 17,065.08 = 3,585.33 : x
  2. Step 2: Convert to fraction form
    11,378.34/17,065.08 = 3,585.33/x
  3. Step 3: Cross multiply
    11,378.34x = 17,065.08 × 3,585.33
  4. Step 4: Simplify right side
    11,378.34x = 61,183,943.28
  5. Step 5: Solve for x
    x = 61,183,943.28/11,378.34
  6. Step 6: Final answer
    x = 5,377.23

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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.